Chapter 11.4, Problem 5CYU

To determine

To find: The area of each figure.

Answer to Problem 5CYU

The area of figure is $239{\text{ft}}^2$ .

Explanation of Solution

Given:

The given figure is:

  

Calculation:

To find the area of the figure, subtract the area of the square from area of rectangle.

Area of rectangle with dimension $20\text{ft}\times 16\text{ft}$ is calculated as:

  $\begin{array}{c}\text{length×breadth}\\ =16\text{×}20\\ =320\end{array}$

Area of square with dimension $9\text{ft}\times 9\text{ft}$ is calculated as:

  $\begin{array}{c}\text{Area}={\left(\text{side}\right)}^2\\ =9^2\\ =81\end{array}$

The area of the shaded region is:

  $\begin{array}{c}\text{Area of figure}=\text{Area of rectangle}-\text{Area of square}\\ =320-81\\ =239\end{array}$

Therefore the area of figure is $239{\text{ft}}^2$ .