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CAT 2018 Slot 2 — QA Question 18

Basics of QuadrilateralsEasy

The area of a rectangle and the square of its perimeter are in the ratio 1 ∶ 25. Then the lengths of the shorter and longer sides of the rectangle are in the ratio ?

Answer & solution

  • A

    1 : 3

  • B

    2 : 9

  • 1 : 4

  • D

    3 : 8

Solution

Suppose l = length of the rectangle and b = breadth of the rectangle.

Therefore, the area of the rectangle = lb and the perimeter of the rectangle = 2(l + b)

Therefore,

lb[2(l+b)]2=125 i.e. ιb(l+b)2=425

Substituting the options, we can see that only option (c) i.e., 1 : 4 matches.

Hence, option (c).

CAT 2018 Slot 2 QA Q18: The area of a rectangle and the square of its perimeter are in the ratio 1 ∶ 25. Then the lengths of the sho — Solution | TheCATExam