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A trapezoid has an area of 24 square meters. The lengths of the bases of the trapezoid are 5 meters and 7 meters. What is the height of the trapezoid? 4 meters 144 meters 2 meters 1 meter
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A trapezoid has an area of 24 square meters. The lengths of the bases of the trapezoid are 5 meters and 7 meters. What is the height of the trapezoid?

4 meters
144 meters
2 meters
1 meter

User Ndemir
by
7.8k points

1 Answer

3 votes
Write it as an algebraic expression

24m^2 = (5m + 7m)/2 x h
24m^2 = 12m/2 x h
24m^2 = 6m x h

Divide both sides of the equation by 6m

24m^2 / 6m = 6m/6m x h
4m = h

The height is 4m
User Frank DeRosa
by
7.9k points
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