A scale of [tex]\frac{1}{5}[/tex] inch represents [tex]\frac{1}{3}[/tex] feet
Solution:
Given that,
On a scale drawing
45 inches represented = 75 feet
We have to find a scale of [tex]\frac{1}{5}[/tex] inch in feet
Let us first find 1 inch in feet
From given,
45 inches = 75 feet
Therefore,
[tex]1 \text{ inches } = \frac{75}{45} \text{ feet }[/tex]
Now find for [tex]\frac{1}{5}[/tex] inch in feet
[tex]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}[/tex]
Thus a scale of [tex]\frac{1}{5}[/tex] inch represents [tex]\frac{1}{3}[/tex] feet
