Question

The area of a trapezium is 475 cm² and the height is 19 cm. Find the lengths of its two parallel sides if one side is 4 cm greater than the other.

Answer 1

Given: Area of a trapezium = 475 cm² and Height = 19 cm.

According to the question, let one sides of trapezium is x. So, another side will be x + 4.

Now, Area of trapezium = `1/2` × (Sum of the parallel sides) × Height 

`475 = 1/2 xx (x + x + 4) xx 19  cm`

`2x + 4 = 950/19 = 50`

2x = 50 – 4

2x = 46

x = 23

Therefore, the length of the parallel side of trapezium are x = 23 cm and x + 4 = 23 + 4 = 27 cm.