Chapter 7, Problem 33SGR

To determine

To find: The corresponding in the scale drawing.

Answer to Problem 33SGR

The corresponding length in the scale drawing is $10.50\text{inches}$ .

Explanation of Solution

Given information: The given information is:

In school foor plan $6\text{inches}=100\text{feet}$ , the distance of the hallway is $175\text{feet}$ .

Calculation:

Let $x$ be the unknown

Now,

  $\frac{\text{Length}\text{in}\text{scale}\text{drawing}}{\text{Length}\text{in}\text{real}\text{distance}}\text{=}\frac{\text{6}\text{in}\text{.}\text{in}\text{scale}}{\text{100}\text{ft}\text{in}\text{real}\text{distance}}$

  $\begin{array}{l}\frac{x}{175}=\frac{6}{100}\\ 100x=175\times 6\\ 100x=1050\end{array}$

  $x=10.50$

Therefore, the corresponding length in the scale drawing is $10.50\text{inches}$ .