Area of Trapezium

A trapezium is a quadrilateral whose two sides are parallel. And if its non-parallel sides are equal then it is said to be an isosceles trapezium.

\mathrm{Area\ of\ Trapezium=\dfrac{1}{2}(a+b)\times h}

Area of trapezium is half of the product of the summation of the parallel sides and the perpendicular distance between them.

Example

Find the area of the trapezium whose parallel sides are 6 cm and 16 cm, with a height of 5 cm. Calculate the area using both the methods.

Solution:

Area of Trapezium  =\dfrac{1}{2}\mathrm{(a+b)\times h}

=\dfrac{1}{2}\times(6+16)\times5

\mathrm{=55\ cm^2}

Scroll to Top