Q PQRS is a quadrilateral and PQ || RS. T is the mid‑point of PQ. ST || QR. If the area of the triangle ΔPTS is 50 cm² then the area of quadrilateral PQRS is:


A. 150 cm²
B. 200 cm²
C. 180 cm²
D. 220 cm²

Correct Answer: A

Explanation:
Using a coordinate model (scale factor), area of ΔPTS in model = 1/2; quadrilateral area in model = 3/2. So quadrilateral area = (3/2)/(1/2) * 50 = 3 * 50 = 150 cm².

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