Question

The parallel sides of a trapezium are 25 cm and 11 cm. The perpendicular distance between the parallel sides is 13 cm. Find the area of the trapezium.

• A. $150c{m}^2$
• B. $250c{m}^2$
• C. $180c{m}^2$
• D. $234c{m}^2$

Answer 1

The correct option is D $234c{m}^2$

Area of a trapezium $=\frac{1}{2}h(a+b)$
where, $h$ is the perpendicular distance between the parallel sides and
$a$ and $b$ are the lengths of the parallel sides.

Here, $a=25cm$,
$b=11cm$ and
$h=13cm$


Area of Trapezium
$=\frac{1}{2}\times (25+11)\times 13$

$=\frac{1}{2}\times 36\times 13$

= $234c{m}^2$