Chapter 11.4, Problem 16PPS

To determine

To find: the area of the given figure and round to the nearest tenth if necessary.

Answer to Problem 16PPS

The area of the figure is $6f{t}^{2.}$ .

Explanation of Solution

Given information: The given figure is shown below.

  

Calculation:

The given figure can be shown as below.

  

The area of the figure can be separated into first rectangle with a length 3.5 ft. and width 1 ft.and second rectangle with length (3-1)= 2 ft. and width (3.5-(1+2)) = 0.5, and third rectangle with length 1.5 ft. and width 1 ft.

Area of the figure = Area of the first rectangle+Area of the second rectangle + Area of the third rectangle.

Area of the figure:

  $\begin{array}{l}=(3.5\times 1)+(2\times 0.5)+(1\times 1.5)\\ =3.5+1+1.5\\ =6f{t}^{2.}.\end{array}$

Therefore, the area of the figure is $6f{t}^{2.}$ .