Chapter 12.7, Problem 45SR

To determine

Calculate the area of the green figure.

Answer to Problem 45SR

The area of the figure is $322.3m^2$ .

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{700}{Area2}={(\frac{28}{19})}^2$\frac{700}{Area2}=\frac{784}{361}\\ \frac{700}{a}=\frac{784}{361}(area2=a)\\ 252700=784a\\ a=\frac{252700}{784}=322.3m^2\end{array}$

Conclusion:

The area is $322.3m^2$ .