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In the diagram /PS/ = 9 cm, /OR/ = 5cm, PˆSR=63o...
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,

In the diagram /PS/ = 9 cm, /OR/ = 5cm, PˆSR=63o and SˆPQ=PˆQR=90o. Find, correct to the nearest whole number, the area of the trapezium,

A.

55cm2

B.

25cm2

C.

22cm2

D.

13cm2

Correct answer is A

Considering the triangle in the diagram
tanθ=opphypTan63=h4h=4tan63Areaoftrapezium=12h(a+b)(12×4tan63[5+9])=28×1.963=54.96=55cm2