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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

2. Areas of Trapezoids, Rhombuses, and Kites

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Exercise 13 Page 626

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

108ft^2

Practice makes perfect

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 18 and 6 feet and the height is 9 feet.

Since we have 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(9)( 18+6)

▼

Evaluate right-hand side

Add terms

A=1/2(9)(24)

MoveRightFacToNumOne

1/b* a = a/b

A=(9)(24)/2

a/b=.a /2./.b /2.

A=(9)(12)

Multiply

A=108

The area of the trapezoid is 108ft^2.

Subchapter links

Lesson Check p.625

Practice and Problem-Solving Exercises p.626-628

Standardized Test Prep p.628

Mixed Review p.628