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: if the sum of a number and its square is 72 , what is the number ? 
Options: a ) 15 , b ) 26 , c ) 8 , d ) 91 , e ) none of these

SOLUTION: c

PROBLEM: Problem: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 96 square centimeters , what is the length of the rectangle in centimeters ? 
Options: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15

SOLUTION: b

PROBLEM: Problem: two isosceles triangles have equal vertical angles and their areas are in the ratio 16 : 36 . find the ratio of their corresponding heights . 
Options: a ) 4 / 6 , b ) 5 / 4 , c ) 3 / 2 , d ) 5 / 7 , e ) 2 / 3

SOLUTION:
a