Question

The parallel sides of a trapezium are 20 cm and 32 cm Its non-parallel sides are 10 cm each The area of the trapezium is

• A. 144 $c{m}^2$
• B. 108 $c{m}^2$
• C. 208 $c{m}^2$
• D. 416 $c{m}^2$

Answer 1

Answer: (C)

208 $c{m}^2$

$BE=\frac{1}{2}(AB-DC)=6cm$
$h^2+6^2={10}^2$
$\Rightarrow h=8cm$
Area of trapezium $=\frac{1}{2}(32+20)\times 8c{m}^2$
$=208c{m}^2$