Question

Find the value of x.

F) 6m
G) 7.5m
H) 15m
I) 21m

Answer 1

x = 6 m

Explanation:

The area (A) of a trapezium is calculated as

A =
`(1)/(2)` h (a + b)

where h is the perpendicular height and a, b the parallel bases

Here A = 60, h = 8, a = 9 and b = x , thus

`(1)/(2)` × 8 × (9 + x) = 60, that is

4(9 + x) = 60 ( divide both sides by 4 )

9 + x = 15 ( subtract 9 from both sides )

x = 6 m