JAMB - Mathematics (1981 - No. 44)

In the figure, find the area of XYZW

60cm2
54cm2
27cm2
54\(\sqrt{2}\)cm2
27\(\sqrt{2}\)cm2

Explanation

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

h = 6 sin 30º = 3

area = \(\frac{1}{2}\)(10 + 8) x 3

\(\frac{1}{2}\)(18) x 4

= 27cm\(^2\)

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