Question

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

Answer 1

1/3 feet

Explanation:

We are given that

On a scale drawing

45 inches represented =75 feet

We have to find a scale of 1/5 inch how many feet represents.

To find the value in feet represented by a scale of 1/5 inch we will use unitary method.

Using unitary method

45 inches represents =75 feet

1 inch represents =
`(75)/(45)` feet

1/5 inch represents =
`(75)/(45)* (1)/(5)` feet

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

Hence, a scale of 1/5 inch represents 1/3 feet

Answer 2

1/3 or 0.33 feet

Explanation:

This question can be easily answered by using simple proportions.

If 75 feet are represented by 45 inches on a scale, then the scaling factor from feet to inches is 45/75, or from inches to feet is 75/45

If we have 1/5 inch and want feet, just multiply by 75/45 to get

1/5*75/45=1/3=0.33 feet