TheCATExam
Sign in

CAT 2002 — QA Question 7

Basics of QuadrilateralsEasy

In the following figure, the area of the isosceles right triangle ABE is 7 sq.cm. If EC = 3BE, then the area of rectangle ABCD (in sq. cm.) is

Answer & solution

  • A

    64

  • B

    82

  • C

    26

  • 56

Solution

∵ The area of the âˆ†ABE = 12× AB × BE = 7 cm2

∴ BE × AB = 14

The area of the rectangle ABCD = AB × BC = AB × (BE + EC) = 4 × (BE × AB) = 56 cm2

Hence, option (d).

CAT 2002 QA Q7: In the following figure, the area of the isosceles right triangle ABE is 7 sq.cm. If EC = 3BE, then the area o — Solution | TheCATExam