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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

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Exercise 7 Page 803

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

168 in.^2

Practice makes perfect

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 18 and 10 inches. The height is 12 inches.

Having the height and the lengths of the bases, we can substitute them into the formula for the area of a trapezoid.

A=1/2h(b_1+b_2)

SubstituteValues

Substitute values

A=1/2 12( 18+ 10)

▼

Evaluate right-hand side

Add terms

A=1/212* 28

Multiply

A=1/2336

MoveRightFacToNumOne

1/b* a = a/b

A=336/2

Calculate quotient

A=168

The area of the trapezoid is 168 square inches.

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