Chapter 11.2, Problem 17PPS

To determine

To find: The area of the yard.

Answer to Problem 17PPS

The area of the yard is $784{\text{ft}}^2$ .

Explanation of Solution

Given:

The given diagram is shown in Figure 1

  

Figure 1

Calculation:

The given shape is the shape of the trapezoid.

Consider the area of the trapezoid is,

  $A=\frac{b_1+b_2}{2}h$

Then,

  $\begin{array}{c}A=\frac{30\text{ft}+26\text{ft}}{2}\left(28\text{ft}\right)\\ =\frac{56\text{ft}\left(28\text{ft}\right)}{2}\\ =784{\text{ft}}^2\end{array}$