Question on: WAEC Mathematics - 2003
In the diagram /PS/ = 9 cm, /OR/ = 5cm, (P\hat{S}R = 63^o) and (S\hat{P}Q = P\hat{Q}R = 90^o). Find, correct to the nearest whole number, the area of the trapezium,
A
55cm2
B
25cm2
C
22cm2
D
13cm2
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Correct Option: A
Considering the triangle in the diagram
(tan\theta = \frac{opp}{hyp}<br />
Tan 63^{\circ} = \frac{h}{4}<br />
h = 4 tan 63^{\circ}<br />
Area of trapezium = \frac{1}{2}h(a+b)<br />
\left(\frac{1}{2} \times 4 tan 63^{\circ}[5+9]\right)<br />
=28\times 1.963 = 54.96 = 55cm^2)
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