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

The formula to find the area of a trapezoid is

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

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.

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step-by-step explanation: