Question 46
Mensuration of Plane ShapesIn the diagram |PS| = 9 cm, |QR| = 5cm, ∠PSR = 63° and ∠SPQ = ∠PQR = 90°. Find, correct to the nearest whole number, the area of the trapezium.
- A.55cm2
- B.25cm2
- C.22cm2
- D.13cm2
Show the answer and explanation
Answer: A (55cm2)
Explanation
Drop a line from R across to PS: it cuts off 9 − 5 = 4 cm, so the height PQ = 4 tan 63° ≈ 7.85 cm. Area = ½(9 + 5) × 7.85 ≈ 55 cm2.