Chapter 11.2, Problem 30PPS

To determine

To find: The area of the given shape.

Answer to Problem 30PPS

The area of the shape is $0.4{\text{ft}}^2$ .

Explanation of Solution

Given:

The given diagram is shown in Figure 1

  

Figure 1

Calculation:

The given figure is in the shape of the trapezoid and the area of the trapezoid is in the form,

  $A=\left(\frac{a+b}{2}\right)h$

Then,

  $\begin{array}{c}A=\left(\frac{12+8}{2}\right)\left(6\right)\\ =\left(10\right)\left(6\right)\\ =60{\text{in}}^2\end{array}$

Then, convert the area from inch square to ft. square as,

  $\begin{array}{c}A=60{\text{in}}^2\left(\frac{{\text{ft}}^2}{144{\text{in}}^2}\right)\\ =0.4{\text{ft}}^2\end{array}$