Question

A trapezoid has base lengths of 20 units and 28 units. The area of the trapezoid is 408 square units. What is the height of the trapezoid?

Answer 1

h = 17 units

Explanation:

The area (A) of a trapezoid is calculated as

A =
`(1)/(2)` h (b₁ + b₂ )

where h is the height and b₁ , b₂ the parallel bases

Here A = 408, b₁ = 20, b₂ = 28 , then

`(1)/(2)` h (20 + 28) = 408 ( multiply both sides by 2 to clear the fraction )

48h = 816 ( divide both sides by 48 )

h = 17