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

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