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In the parallelogram PQRS, PE is perpendicular to QR. Find the area of the parallelogram.

In the parallelogram PQRS, PE is perpendicular to QR. Find the area of the parallelogram.

A.
60cm²
B.
65cm²
C.
72cm²
D.
144cm²
E.
156cm²

Correct Answer: Option D

Explanation

By Pythagoras, PE² = 13² – 5²
= 169 – 144 = 144
h = PE = 144 = 12cm,
Area of 11gm = b x h
QR = b =(5 + 7)cm = 12cm
area = 12 x 12
= 144cm²