Question

The two parallel sides of a trapezium are 19.8 and 7.2 and its area is 135 cm²..find its height

Answer 1

10cm

Explanation:

the formula for an area of a trapezium:

`((a + b) * h)/(2) = area`

where a and b are the parallel sides and h is the height. equating what we have:

`((19.8 + 7.2) * h)/(2) = 135`

simplify the numerator by adding 19.8 and 7.2=27

`(27h)/(2) = 135`

multiply both sides by 2

`27h = 270`

divide both sides by 27

`h = (270)/(27) = 10`

the height is 10cm