Question

The area of a trapezium is 1586 cm² and the distance between its parallel sides is 26 cm. Length of one parallel sides is 84cm. The length of other is

• A. 38 cm
• B. 28 cm
• C. 18 cm

Answer 1

The correct option is A 38 cm

Area of trapezium = $\frac{1}{2}\times (a+b)\times h$, where $a$ and $b$ are the lengths of the parallel sides and $h$ stands for the perpendicular distance between the parallel sides.
$\Rightarrow \frac{1}{2}\times (84+b)\times 26=1586c{m}^2\Rightarrow (84+b)\times 13=1586\Rightarrow (84+b)=\frac{1586}{13}\Rightarrow (84+b)=122\Rightarrow b=122-84=38cm$