A building is in the shape of quadrilateral ABCD. Find its area if its parallel sides are 10 m and 8 m respectively, and its base is of length 5 m.
A
40 m2
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B
45 m2
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C
50 m2
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D
60 m2
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Solution
The correct option is B 45 m2 Given Quadrilateral is in the shape of a trapezium. The parallel sides are AB and CD AB = 10 m, CD = 8 m, BC = height of trapezium = 5 m
Area of trapezium ABCD = = 12×(Sum of parallel sides)×height = 12×(AB+CD)×BC = 12×(10+8)×5 = 12×18×5 = 9×5 = 45 m2