JAMB - Mathematics (1979 - No. 48)

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

60cm2
65cm2
72cm2
132cm2
156cm2

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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