Question

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

Answer 1

The actual dimensions are `45"ft"×67.5"ft"`.

Explanation:

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

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