Chapter 9.2, Problem 58SR

a.

To determine

To Write:An expression for the area of the trapezoid where $h$ is the height, $b_1$ is base one and $b_2$ is the base second.

Answer to Problem 58SR

  $\text{Area of the trapezoid}=\frac{1}{2}h\left(b_1+b_2\right)$

Explanation of Solution

Given information:

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

  $h$ is the height, $b_1$ is base one and $b_2$ is the base second.

Calculation:

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

  $\text{Area of the trapezoid}=\frac{1}{2}h\left(b_1+b_2\right)$

b.

To determine

To Find: The area of the trapezoid shown below:

  

Answer to Problem 58SR

Area of the trapezoid is 34 mn

Explanation of Solution

Given information:

  

From the figure:

height(h) = 4 mn

One Base ( $b_1$ ) = 7mn

Second base( $b_2$ ) = 10mn

Calculation:

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

  $\text{Area of the trapezoid}=\frac{1}{2}h\left(b_1+b_2\right)$

Substituting the known value.

  $\begin{array}{c}\text{Area of the trapezoid}=\frac{1}{2}\cdot 4\left(7+10\right)\\ =\frac{1}{2}\cdot 4\left(17\right)\\ =2\cdot 17\\ =34\text{ mn}\end{array}$