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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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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free