Chapter 11.2, Problem 22PPS

To determine

To find: The surface area of the Estella that is needed to stand and stain.

Answer to Problem 22PPS

The area of the Estella is $1.2{\text{in}}^2$ .

Explanation of Solution

Given:

The given diagram is shown in Figure 1

  

Figure 1

Calculation:

The area of the trapezoid is,

  $A=\frac{1}{2}\left(b_1+b_2\right)h$

The area of the Estella is the difference between the area of the smaller trapezoid and large trapezoid is,

  $\begin{array}{c}A=\frac{1}{2}\left(1+1.5\right)2-\frac{1}{2}\left(0.75+1\right)1.5\\ =2.5-1.3125\\ =1.1875\\ \approx 1.2{\text{in}}^2\end{array}$