TASK 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'.
PROBLEM: Problem: john is building a rectangular fence around a garden . the length will be 5 feet shorter than its width . if the total area of the garden is 176 square feet , what is the length of the diagonal ( in feet ) ? 
Options: ['a ) between 18 and 19', 'b ) between 19 and 20', 'c ) between 20 and 21', 'd ) between 21 and 22', 'e ) between 22 and 23']

SOLUTION: b

PROBLEM: Problem: if g is the smallest positive integer such that 3150 multiplied by g is the square of an integer , then g must be 
Options: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 14

SOLUTION: e

PROBLEM: Problem: the length of a rectangle is twice its breadth . if its lengthis decreased by 5 cm & breadth is increased by 5 cm , the area of the rectangle is increased by 75 sq . cm . what is the length of the rectangle ? 
Options: a ) 25 cm , b ) 30 cm , c ) 40 cm , d ) 45 cm , e ) 60 cm

SOLUTION:
c