Question
Trapezium given below; find its area.
✓
Answer
Area of $\triangle EBC =\frac{1}{4} \times 8 \times \sqrt{4 \times 10^2-8^2}$
$=\frac{1}{4} \times 8 \times 18.3$
$=36.6 \ cm ^2$
Again
Area of $\triangle EBC =\frac{1}{2} \times 8 \times h$
$36.6 = 4\ h$
$h = 9.15$
Area of $\text{ABCD}$
$=\frac{1}{2} \times(12+20) \times 9.15$
$=\frac{1}{2} \times 32 \times 9.15$
$=146.64 \text { sq.cm }$
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