Question

The area of a trapezium whose parallel sides are 57 cm and 39 cm and the distance between them is 28 cm is

• A. $1344c{m}^2$
• B. $1244c{m}^2$
• C. $1144c{m}^2$
• D. $1044c{m}^2$

Answer 1

The correct option is A

$1344c{m}^2$

Let 'a' and 'b' be the parallel sides of the trapezium and 'h' be the height of the trapezium.

Area of trapezium $=\frac{1}{2}\left(\text{sum of parallel sides}\right)\times \text{height}$

$\Rightarrow \frac{1}{2}(a+b)\times h$

$=\frac{1}{2}(57+39)\times 28$

$=1344c{m}^2$