Exercise 19 Page 335

To find the area calculate, one half the product of the height and the sum of the bases.

49mi^2

Practice makes perfect

Let's find the area of the given trapezoid. The area of a trapezoid is one half the product of the height and the sum of the bases.

In the given trapezoid we can see, that the height is 7 miles and the bases are 6 miles and 8 miles. We can substitute them into the formula for the area of a trapezoid. Let's do it!

A=1/2h(b_1+b_2)

SubstituteValues

Substitute values

A=1/2( 7)( 8+ 6)

▼

Evaluate right-hand side

AddTerms

Add terms

A=1/2(7)(14)

Multiply

A=1/2*98

MoveRightFacToNumOne

1/b* a = a/b

A=98/2

CalcQuot

Calculate quotient

A=49

The area of the trapezoid is 49 square miles.

Subchapter links

1 Areas of Parallelograms p.333

2 Areas of Triangles p.334

3 Areas of Trapezoids and Kites p.335

4 Three-Dimensional Figures p.336

5 Surface Areas of Prisms p.336

6 Surface Areas of Pyramids p.337

7 Volumes of Rectangular Prisms p.337

Exercise 19 Page 335

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