Question 31
Mensuration of Plane ShapesIn the diagram, PQRS is a trapezium with PQ||SR. STR is a straight line, PS||QT, PT||QR. If |PQ| = 12cm and the height of the trapezium is 9cm, find its area.
- A.96cm2
- B.108cm2
- C.135cm2
- D.162cm2
- E.216cm2
Show the answer and explanation
Answer: D (162cm2)
Explanation
PQTS and PQRT are parallelograms, so ST = TR = PQ = 12 cm and SR = 24 cm. Area = ½(12 + 24) × 9 = 162 cm².