Question

A trapezoid with an area of 166.75 in squared has a base that measures 21 in and 8 in. Find the height of the trapezoid.

Answer 1

The formula to find the area of a trapezoid is

$A=\frac{1}{2} h(a+b)$

It has a base that measures 8 in = a

And the other side that is parallel to base is 21 in. = b

Let the height of the trapezoid = h

The trapezoid has an area of 166.75 in²

Substituting the values we get

$\frac{1}{2}h(8+21)=166.75$

14.5h = 166.75

Dividing by 14.5 on both sides we get

h = 11.5 in

The height of the trapezoid is 11.5 in.

Answer 2

21+8=29/2=14.5
14.5x=166.75
11.5 is the height