# The area of a trapezoid is 60 square feet. If the bases of the trapezoid are 8 feet and 12 feet, what is the height?

The height is 6 feet.

The formula for the area of a trapezoid is

In the problem, the following information is given:

Substituting these values into the formula gives...

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To find the height of the trapezoid, we can use the formula for the area of a trapezoid, which is given by:

[ \text{Area} = \frac{1}{2} \times (\text{sum of bases}) \times (\text{height}) ]

Given that the area of the trapezoid is 60 square feet and the bases are 8 feet and 12 feet, we can plug these values into the formula and solve for the height:

[ 60 = \frac{1}{2} \times (8 + 12) \times (\text{height}) ] [ 60 = \frac{1}{2} \times 20 \times (\text{height}) ] [ 60 = 10 \times (\text{height}) ]

Now, divide both sides by 10 to solve for the height: [ \text{height} = \frac{60}{10} ] [ \text{height} = 6 \text{ feet} ]

Therefore, the height of the trapezoid is 6 feet.

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