Question

If on a scale 75 feet are represented by 45 inches, then a scale of 1/5 inch represents how many feet?

Answer 1

A scale of $\frac{1}{5}$ inch represents $\frac{1}{3}$ feet

Solution:

Given that,

On a scale drawing

45 inches represented = 75 feet

We have to find a scale of $\frac{1}{5}$ inch in feet

Let us first find 1 inch in feet

From given,

45 inches = 75 feet

Therefore,

$1 \text{ inches } = \frac{75}{45} \text{ feet }$

Now find for $\frac{1}{5}$ inch in feet

$1 \times \frac{1}{5} \text{ inches } = \frac{75}{45} \times \frac{1}{5} \text{ feet }\\\\\frac{1}{5} \text{ inches } = \frac{75}{225} \text{ feet }\\\\\frac{1}{5} \text{ inches } = 0.33 \text{ feet }\\\\\frac{1}{5} \text{ inches } = \frac{1}{3} \text{ feet}$

Thus a scale of $\frac{1}{5}$ inch represents $\frac{1}{3}$ feet