Chapter 11.5, Problem 18PPS

To determine

To find: The cost of flooring is the two rooms when the flooring for the kitchen is $\$2000$ .

Answer to Problem 18PPS

The cost of flooring the two rooms is $\$7600$ .

Explanation of Solution

Given:

The cost is proportional to the area.

Calculation:

Consider the cost of flooring the rooms is $C$ .

Consider the area of the polygon is $A$ and when the area is double the area is $2A$ .

Then, by the area of the similar polygon,

  $\begin{array}{l}{k}^2=\frac{C}{2000}\\ {\left(\frac{5}{3}\right)}^2=\frac{C}{2000}\\ C=\frac{200\times 25}{9}\\ C=5555.6\end{array}$

Then, the cost of flooring the two rooms is $\$5555.6+\$2000=\$7600$ .