Question

a trapezoid with an area of 166.75 in has bases that measure 21in and 8 in find the height of the trapezoid

Answer 1

height = 11.5 in

Explanation:

The area (A) of a trapezoid is calculated using the formula

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

where h is the height and a, b the bases

here a = 21, b = 8 and A = 166.75, hence

`(1)/(2)` h(21 + 8) = 166.75

Multiply both sides by 2 to eliminate the fraction

29h = 333.5 ( divide both sides by 29 )

h = 11.5 in