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

1 Answer

5 votes

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

User Lutz Prechelt
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