Question

Using the information in the following figure, find its area.

Answer 1

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