PQRS is a trapezium. QR//PS, /PQ/ = 5cm, /OR/ = 6cm, /PS/ = 10cm and...

WAEC 2009

PQRS is a trapezium. QR//PS, /PQ/ = 5cm, /OR/ = 6cm, /PS/ = 10cm and angle QPS = 42^o. Calculate, correct to the nearest cm², the area of the trapezium (h = 3.35cm² )

A. 27cm²
B. 30cm²
C. 36cm²
D. 37cm²

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Correct Answer: Option A

Explanation

Area = \(\frac{1}{2}(a + b)\)h

where a = QR = 6cm

b = PA = 10cm

Area = \(\frac{1}{2}(6 + 10)\) x 3.35cm²

= \(\frac{1}{2}(16)\) x 3.35cm²

= 26.8cm²

= 27cm² (approx.)

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