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GCE Mathematics 1990 Question 32

Question 32

Mensuration of Plane Shapes

In the diagram below, PS||RQ, |RQ| = 6.4cm and perpendicular PH = 3.2cm. Find the area of SQR.

Diagram for this question
  1. A.5.12cm2
  2. B.9.60cm2
  3. C.10.24cm2
  4. D.20.48cm2
  5. E.40.96cm2
Show the answer and explanation

Answer: C (10.24cm2)

Explanation

S lies on the line PS, which is parallel to RQ, so the height of triangle SQR is also 3.2cm. Area = ½ × 6.4 × 3.2 = 10.24cm2.