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PQRS is a trapezium QR PS PQ 5cm OR 6cm PS 10cm... - WAEC Mathematics 2009 Question

PQRS is a trapezium. QR//PS, /PQ/ = 5cm, /OR/ = 6cm, /PS/ = 10cm and angle QPS = 42o. Calculate, correct to the nearest cm2, the area of the trapezium (h = 3.35cm2 )
A
27cm2
B
30cm2
C
36cm2
D
37cm2
correct option: a
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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