A sketch of the Roosevelt Room in the White House is drawn to $\frac{1}{15}$ $1/15$ scale. The sketch shows a room that is 3 feet by 4.5 feet. What are the actual dimensions of the room?

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A sketch of the Roosevelt Room in the White House is drawn to $\frac{1}{15}$ $1/15$ scale. The sketch shows a room that is 3 feet by 4.5 feet. What are the actual dimensions of the room?

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Answer 1 · 2018-06-24T21:22:44

The actual dimensions are $45 ft \times 67.5 ft$ $45"ft"×67.5"ft"$ .

Explanation:

A 1: $n$ $n$ scale means 1 foot on the drawing is $n$ $n$ feet in the real world, the ratio refers to lengths rather than areas or volumes.

Here $n$ $n$ is $15$ $15$ so one foot corresponds to $15$ $15$ feet. Then the given dimensions $3 ft \times 4.5 ft$ $3"ft"×4.5"ft"$ corresponds to $45 ft \times 67.5 ft$ $45"ft"×67.5"ft"$ .

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A sketch of the Roosevelt Room in the White House is drawn to $\frac{1}{15}$ $1/15$ scale. The sketch shows a room that is 3 feet by 4.5 feet. What are the actual dimensions of the room?

1 Answer

Explanation:

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A sketch of the Roosevelt Room in the White House is drawn to $\frac{1}{15}$ $1/15$ scale. The sketch shows a room that is 3 feet by 4.5 feet. What are the actual dimensions of the room?