Question

Two parallel sides of a trapezium are of lengths 57 cm and 39 cm. The distance between the parallel sides is 28 cm. Find the area of the trapezium.

• 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.

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

$\Rightarrow \text{Area}=\frac{1}{2}(57+39)\times 28=1344c{m}^2$