Lots-of-LoRAs/task1423_mathqa_geometry huggingface dataset:
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 680 sq . ft , how many feet of fencing will be required ? 
Options: a ) 88 feet , b ) 86 feet , c ) 84 feet , d ) 82 feet , e ) 83 feet
Output: 


Output: a
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: the parameter of a square is equal to the perimeter of a rectangle of length 14 cm and breadth 10 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) ? 
Options: a ) 23.56 , b ) 23.59 , c ) 23.55 , d ) 18.86 , e ) 23.57
Output: 


Output: d
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: how many diagonals does a polygon with 19 sides have , if one of its vertices does not connect to any diagonal ? 
Options: a ) 135 , b ) 125 , c ) 120 , d ) 110 , e ) 140
Output: 


Output: a
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: a white paper 2 inches wide is placed around a rectangular black paper with dimensions 8 inches by 12 inches . what is the area of the white paper , in square inches ? 
Options: ['a ) 96', 'b ) 196', 'c ) 128', 'd ) 144', 'e ) 168']
Output: 


Output: b
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: the area of a square field is 64816 sq m . how long will a lady take to cross the field diagonally at the rate of 7.2 km / hr ? 
Options: a ) 2 min , b ) 4 min , c ) 5 min , d ) 3 min , e ) 3.5 min
Output: 


Output: d
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: if the radius of a circle is decreased 30 % , what happens to the area ? 
Options: a ) 51 % decrease , b ) 20 % decrease , c ) 36 % decrease , d ) 40 % decrease , e ) 50 % decrease
Output: 


Output: a
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: a math teacher has 27 cards , each of which is in the shape of a geometric figure . half of the cards are rectangles , and a third of the cards are rhombuses . if 8 cards are squares , what is the maximum possible number of cards that re circles . 
Options: ['a ) 9', 'b ) 10', 'c ) 11', 'd ) 12', 'e ) 13']
Output: 


Output: b
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: what is the positive integer that can be added by 595 to make it a perfect square ? 
Options: ['a ) 2 * 3 * 6', 'b ) 3 * 2 * 5', 'c ) 5 * 3 * 3', 'd ) 2 * 3', 'e ) 3 * 5 * 4']
Output: 


Output: b
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: a volume of 11780 l water is in a container of sphere . how many hemisphere of volume 4 l each will be required to transfer all the water into the small hemispheres ? 
Options: a ) 2812 , b ) 8231 , c ) 2734 , d ) 4222 , e ) 2945
Output: 


Output: e
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 5 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 75 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: 


Output: b
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: a rectangular lawn of dimensions 80 m * 50 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ? 
Options: a ) a ) 3820 , b ) b ) 930 , c ) c ) 9309 , d ) d ) 3600 , e ) e ) 8302
Output: 


Output: d
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: three interviewers , a , b , and c are interviewing 50 applicants . only with three interviewers ' admission can an applicant be admitted . if interviewer a admitted 20 applicants , b admitted 22 applicants , and c admitted 20 applicants , at least how many applicants get the admission ? 
Options: a ) 4 , b ) 0 , c ) 6 , d ) 8 , e ) 12
Output: 


Output: b
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: the diameter of a cylindrical tin is 8 cm and height is 5 cm . find the volume of the cylinder ? 
Options: a ) 33 , b ) 45 , c ) 66 , d ) 80 , e ) 21
Output: 


Output: d
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: the ratio of radius of a circle and the side of a square is 2 : 7 . find the ratio of their areas : 
Options: a ) 2 : 1 , b ) 4 : 7 , c ) 8 : 77 , d ) 4 : 49 , e ) none
Output: 


Output: d
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: in a rectangular coordinate system , what is the area of a quadrilateral whose vertices have the coordinates ( 4 , - 3 ) , ( 4 , 7 ) , ( 12 , 2 ) , ( 12 , - 7 ) ? 
Options: ['a ) 64', 'b ) 68', 'c ) 72', 'd ) 76', 'e ) 80']
Output: 


Output: d
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: triangle xyz is an isosceles right triangle . if side xy is longer than side yz , and the area of the triangle is 49 , what is the measure of side xy ? 
Options: ['a ) 4', 'b ) 4 √ 2', 'c ) 14', 'd ) 8 √ 2', 'e ) can not be determined from the information provided']
Output: 


Output: c