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:

$Side\ 2 = 30cm$

Step-by-step 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:

$A = \frac{1}{2}(Side\ 1 + Side\ 2) * h$

$400 = \frac{1}{2}(20 + Side\ 2) * 16$

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

Divide both sides by 8

$50 = 20 + Side\ 2$

Collect Like Terms

$Side\ 2 = 50 - 20$

$Side\ 2 = 30cm$