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sveta [45]
4 years ago
8

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.

Mathematics
2 answers:
Svetlanka [38]4 years ago
7 0

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.

Alex4 years ago
4 0
21+8=29/2=14.5
14.5x=166.75
11.5 is the height
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