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Question
Using the information in the following figure, find its area.
Solution
Construction : Draw CM ⊥ AB
In right-angled triangle CMB,
BM2 = BC2 - CM2 = (15)2 - (9)2 = 225 - 81 = 144
⇒ BM = 12 m
Now, AB = AM + BM = 23 + 12 = 35 m
∴ Area of trapezium ABCD
=`1/2` x ( sum of parallel sides ) x Heigt
=`1/2` x (AB + CD) x AD
= `1/2` x ( 23 + 35 ) x 9
= `1/2` x 58 x 9
= 261 m2
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