Chapter 11.1, Problem 17WE

To determine

To Find: The area of the figure.

Answer to Problem 17WE

  $A=130$

Explanation of Solution

Given: Consecutive sides of the figure is perpendicular.

  

  

Area of the figure= Area of first part+ area of second part + area of third part.

Area of first part

  $\begin{array}{l}Length=7+5+2=14\\ Width=5\\ Area=lb\\ A_1=5(14)=70\end{array}$

Area of second part

  $\begin{array}{l}Length=6\\ Width=5\\ Area=lb\\ A_2=6(5)=30\end{array}$

Area of third part

  $\begin{array}{l}Length=6\\ Width=5\\ Area=lb\\ A_2=6(5)=30\end{array}$

Total area of the figure

  $\begin{array}{l}A=A_1+A_2+A_3\\ A=70+30+30\\ A=130\end{array}$

Hence, $A=130$