# On a scale drawing, 1/4 inch = 1 foot. What are the dimensions on the scale for room that is 27 feet by 20 feet?

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Evan V. Share
Mar 3, 2018

81 in. (6.75 ft.) by 60 in. (5 ft.)

#### Explanation:

First, convert 27 ft. and 20 ft. to inches to make it easier to work with. This would convert like this:

27 ft. x 12 in. $=$ 324 in.
20 ft. x 12 in. $=$ 240 in.

• This also means that the scale converts to 1/4 in. = 12 in.

Now, take your 324 in. and 240 in. and apply them to the scale.

• For every 12 in. (1 ft.) in the non-scale room dimensions, there will be one 1/4 in. on the scale. That would apply like this:

324 in. (27 ft.) x $\frac{1}{4}$ in. $=$ 81 in. [or 6.75 ft.]
240 in. (20 ft.) x $\frac{1}{4}$ in. $=$ 60 in. [or 5 ft.]

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