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: the difference of the areas of two squares drawn on two line segments in 32 sq . cm . find the length of the greater line segment if one is longer than the other by 2 cm
Options: ['a ) 9 cm', 'b ) 8 cm', 'c ) 7 cm', 'd ) 6 cm', 'e ) 5 cm']

SOLUTION: c

PROBLEM: Problem: if k and w are the dimensions of a rectangle that has area 20 and if k and w are integers such that k > w , what is the total number of possible values of k ?
Options: ['a ) two', 'b ) three', 'c ) four', 'd ) five', 'e ) six']

SOLUTION: b

PROBLEM: Problem: square abcd is the base of the cube while square efgh is the cube ' s top face such that point e is above point a , point f is above point b etc . what is the distance between the midpoint of edge ab and the midpoint of edge eh if the area of square abcd is 2 ?
Options: ['a ) 1 / sqrt 2', 'b ) 1', 'c ) sqrt 2', 'd ) sqrt 3', 'e ) 2 sqrt 3']

SOLUTION:
d