Chapter 12.7, Problem 43SR

To determine

Calculate the area of the green figure.

Answer to Problem 43SR

The area of the figure is $2\frac{2}{3}c{m}^2$ .

Explanation of Solution

Given:

It is given in the question that the figure is given below:

  

Concept Used:

In this, use the concept of proportion of the area and side $\frac{Area1}{Area2}={(\frac{side1}{side2})}^2$

Calculation:

  $\begin{array}{l}$ \frac{Area1}{Area2}={(\frac{side1}{side2})}^2$$ \frac{24}{Area2}={(\frac{6}{2})}^2$\frac{24}{Area2}=3^2\\ \frac{24}{a}=9(area2=a)\\ a=\frac{24}{9}=\frac{8}{3}=2\frac{2}{3}c{m}^2\end{array}$

Conclusion:

The area is $2\frac{2}{3}c{m}^2$ .