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JAMB Mathematics 1979 Question 39

Question 39

Mensuration of Plane Shapes

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

Diagram for this question
  1. A.60cm2
  2. B.65cm2
  3. C.72cm2
  4. D.144cm2
  5. E.156cm2.
Show the answer and explanation

Answer: D (144cm2)

Explanation

In right triangle PEQ, PE = √(13² − 5²) = 12cm. The base QR = 5 + 7 = 12cm, so the area is 12 × 12 = 144cm².