Chapter 11.4, Problem 42STP

To determine

To find: The area of the shaded Figure in square inches.

Answer to Problem 42STP

The area of the figure is $420{\text{in}}^2$ .

Explanation of Solution

Given:

The given diagram is shown in Figure 1

  

Figure 1

Calculation:

Consider the base of the rectangle is 20 in and height is 15 in.

The isosceles triangle is with the height 8 in and the base is,

  $\begin{array}{c}b=2\left(15\right)\\ =30\text{in}\end{array}$

Then, the area of the composite figure is,

  $\begin{array}{c}A=bh+\frac{1}{2}bh\\ =20\left(15\right)+\frac{1}{2}\left(30\right)\left(8\right)\\ =300+120\\ =420{\text{in}}^2\end{array}$