Question

The area of a trapezium is 400 cm square​

Answer 1

Complete Question:

The area of a trapezium is 400 cm2, the distance between the parallel sides is 16 cm. If one of the parallel sides is 20 cm, then the length of the other side is ______

Answer:

`Side\ 2 = 30cm`

Explanation:

Given

`A= 400cm^2` --- Area

`h = 16cm` --- Height

`Side\ 1=20cm`

Required

The length of the other side (Side 2)

The area of a trapezium is:

`A = (1)/(2)(Side\ 1 + Side\ 2) * h`

`400 = (1)/(2)(20 + Side\ 2) * 16`

`400 = (20 + Side\ 2) * 8`

Divide both sides by 8

`50 = 20 + Side\ 2`

Collect Like Terms

`Side\ 2 = 50 - 20`

`Side\ 2 = 30cm`