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
Choices.
A) 9 cm  B) 8 cm  C) 7 cm  D) 6 cm  E) 5 cm

Rationale: explanation : let the lengths of the line segments be x and x + 2 cm then , ( x + 2 ) 2 − x 2 = 32 x 2 + 4 x + 4 − x 2 = 324 x = 28 x = 7 cm option c
Answer: C