Chapter 11, Problem 35SGR

To determine

To find: The length of corresponding side of the land.

Answer to Problem 35SGR

The length of corresponding side of the land is $180\mathrm{miles}$ .

Explanation of Solution

Given information: Actual area of the land is $600$ and area in map is $5$ . The side of the map is $1.5$ . Calculation: Actual area of the land is $600$ and area in map is $5$ . The side of the map is $1.5$ .

By direct proportional:

  $\begin{array}{l}\frac{x_1}{y_1}=\frac{x_2}{y_2}\\ \frac{600}{5}=\frac{x_2}{1.5}\\ \frac{600\times 1.5}{5}=x_2\\ 120\times 1.5=x_2\\ 180=x_2\end{array}$

Thus, the length of corresponding side of the land is $180\mathrm{miles}$ .