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McGraw Hill Glencoe Geometry, 2012 View details

4. Volumes of Prisms and Cylinders

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Exercise 61 Page 870

The area of a trapezoid is one half the product of the height and the sum of the bases.

378m^2

Practice makes perfect

We are given a trapezoid and asked to find its area.

The area of a trapezoid is one half the product of its base and the sum of its bases. In the given diagram, we can see that the lengths of the bases are 25 and 17 meters, while the height is 18 meters. We can substitute those values into the formula for the area of a trapezoid.

A=1/2h(b_1+b_2)

SubstituteValues

Substitute values

A=1/2(18)( 25+17)

AddTerms

Add terms

A=1/2(18)(42)

Multiply

A=378

The area of the trapezoid is 378m^2.