Question

The distance between parallel sides of a trapezium is 20 cm and the length of the line segment joining the mid-points of its non-parallel sides is 53 cm. Find the area of the trapezium ​

Answer 1

Given:

• The distance between parallel sides of a trapezium = 20 cm
• The length of the line segment joining the mid- points of its non-parallel sides = 53 cm.

To Find:

• Find the area of the trapezium = ?

Solution:

EF = ${\dfrac{1}{2}{\times}}$(AB + BC) = 20 cm

Formula to find the area of trapezium —

${\quad}{\boxed{\sf{area = \frac{1}{2} \times (ad + bc) \times h}}}$

According to the question —

$\sf \implies \: area = 20 \times 53 \\ \\ \sf \implies \: area = 1060 {cm}^{2}$

Hence,the area of the trapezium will be 1060${cm}^{2}$