Question 33
Mensuration of Plane ShapesIn the figure above, PS = 7cm and RY = 9cm. If the area of parallelogram PQRS is 56cm2, find the area of trapezium PQTS.
- A.56cm2
- B.112cm2
- C.120cm2
- D.176cm2
Show the answer and explanation
Answer: C (120cm2)
Explanation
The height is 56 ÷ 7 = 8cm. QT = QR + RY + YT = 7 + 9 + 7 = 23cm. Area of the trapezium = ½(23 + 7) × 8 = 120cm².