Exercise 6 Page 586

The area of a trapezoid is one half the product of its height and the sum of its bases. In the given diagram, we can see that the lengths of the bases are 7 and 15 yards.

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( 7)( 15+ 7)

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Simplify

AddTerms

Add terms

A=1/2(7)(22)

CommutativePropMult

Commutative Property of Multiplication

A=1/2(22)(7)

MoveRightFacToNumOne

1/b* a = a/b

A=22/2(7)

CalcQuot

Calculate quotient

A=11(7)

Multiply

Multiply

A=77

The area of the trapezoid is 77yd^2.