Exercise 17 Page 335

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

105m^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 10 meters and the bases are 15 meters and 6 meters. 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( 10)( 6+ 15)

▼

Evaluate right-hand side

AddTerms

Add terms

A=1/2(10)(21)

Multiply

A=1/2* 210

MoveRightFacToNumOne

1/b* a = a/b

A=210/2

CalcQuot

Calculate quotient

A=105

The area of the trapezoid is 105 square meters.

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 17 Page 335

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