Question

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

Answer 1

The usual equation for a trapezoid is base1+base2/2 * height. For this, 21+8/2 equals to 166.75. Use division, and your height is 11.5

Answer 2

The area of trapezoid is calculated as -

Area of trapezoid =
`(a + b)/(2) X height`

Here, a = base 1

b = base 2

Height is the height of trapezoid.

It is given that,

Area of trapezoid = 166.75 in

Base 1, a = 21 in

Base 2, b = 8 in

Area of trapezoid =
`(a + b)/(2) X height`

166.75 in =
`(21 in + 8 in)/(2) X height`

Height = [tex] \frac{ 166.75 in}{14.5}

Height = 11.5 in

Thus, height of trapezoid = 11.5 In