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
`(1)/(5)` inch represents
`(1)/(3)` feet

Solution:

Given that,

On a scale drawing

45 inches represented = 75 feet

We have to find a scale of
`(1)/(5)` inch in feet

Let us first find 1 inch in feet

From given,

45 inches = 75 feet

Therefore,

`1 \text{ inches } = (75)/(45) \text{ feet }`

Now find for
`(1)/(5)` inch in feet

`1 * (1)/(5) \text{ inches } = (75)/(45) * (1)/(5) \text{ feet }\\\\(1)/(5) \text{ inches } = (75)/(225) \text{ feet }\\\\(1)/(5) \text{ inches } = 0.33 \text{ feet }\\\\(1)/(5) \text{ inches } = (1)/(3) \text{ feet}`

Thus a scale of
`(1)/(5)` inch represents
`(1)/(3)` feet