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

Mathematics
JAMB 1979

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

  • A. 60cm2
  • B. 65cm2
  • C. 72cm2
  • D. 132cm2
  • E. 156cm2
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Correct Answer: Option D
Explanation

By Pythagoras, PE\(^2\) = 12\(^2\) - 5\(^2\)

= 144 - 25 = 119

h = PE\(^2\) = √119 = 10.9 ≈ 11cm,

Area of 11gm = b x h

QR = b =(5 + 7)cm = 12cm

area = 12 x 11

= 132cm\(^2\)

 


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