Question

Find the area of a trapezium if the distance between its parallel sides is 26 cm and one of the parallel sides is 84 cm long, the other parallel side is half of the perpendicular distance between the parallel sides.

• A. 1430 $c{m}^2$​
• B. 1261 $c{m}^2$​
• C. 1225 $c{m}^2$​
• D. 1216 $c{m}^2$

Answer 1

The correct option is B 1261 $c{m}^2$​

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

Given, $a=84cm$, $h=26cm$ and
$b=\frac{1}{2}\times h=\frac{1}{2}\times 26=13cm$

$\therefore \text{Area}=\frac{1}{2}\times (84+13)\times 26$
$=13\times 97=1261{\text{cm}}^2$