Question

Find the height of the trapezium the sum of the length of whose bases is 50 cm and whose area is 500 CM square.

Answer 1

ANSWER:-

Given:

In trapezium,

•The sum of the Length of whose base=50cm

•Area of trapezium= 500cm²

To find:

Height of trapezium.

Solution:

Trapezium: A trapezium also known as a trapezoid, is a quadrilateral in which a pair of sides are parallel, but the other pair of opposite sides are non-parallel.

We know that, area of trapezium,

$= > \frac{1}{2} \times sum \: of \: parallel \: sides \: \times height$

Therefore,

$= > \frac{1}{2} \times 50 \times h = 500 \\ \\ = > \frac{50}{2} \times h = 500 \\ \\ = > 25 \times h = 500 \\ \\ = > h = \frac{500}{25 } \\ \\ = > h = 20cm$

Hence,

The height of trapezium is 20cm.

Hope it helps ☺️