Question 32
Mensuration of Plane ShapesIn the diagram, PU ∥ SR, PS ∥ TR, QS ∥ UR, UR = 15 cm, SR = 8 cm, PS = 10 cm and area of ΔSUR = 24 cm2. Calculate the area of PTRS.
- A.40 cm2
- B.48 cm2
- C.80 cm2
- D.120 cm2
Show the answer and explanation
Answer: B (48 cm2)
Explanation
The height between the parallel lines comes from ΔSUR: ½ × 8 × h = 24, so h = 6 cm. PTRS is a parallelogram on base SR = 8 cm with that height, so its area is 8 × 6 = 48 cm2.