Chapter 11.1, Problem 24WE

To determine

To Find: The area of the figure.

Answer to Problem 24WE

  $A=34y^2$

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

  $\begin{array}{l}l=2y\\ b=y\\ A=lb\\ A=(2y)(y)\\ A_1=2y^2\end{array}$

Area of Second part

  $\begin{array}{l}l=4y\\ b=2y\\ A=lb\\ A=(4y)(2y)\\ A_2=8y^2\end{array}$

Area of third part

  $\begin{array}{l}l=8y\\ b=3y\\ A=lb\\ A=(8y)(3y)\\ A_3=24y^2\end{array}$

  $$

Thus

Total area of the figure

  $\begin{array}{l}A=A_1+A_2+A_3\\ A=2y^2+8y^2+24y^2\\ A=34y^2\end{array}$

Hence, $A=34y^2$