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

Scale 1/15

Scale = 1 : 15

Sketch shows: 3 by 4.5

Actual = (3*15) by (4.5 * 15) = 45 by 67.5

Actual = 45 feet by 67.5 feet.

Answer 2

Answer: 45 feet by 67.5 feet.

Explanation:

Given: To draw the sketch of the Roosevelt room in the white house=
`(1)/(15)`

The dimensions of the sketch is 3 feet by 4.5 feet .

To find the actual dimensions of the room multiply the dimensions of the sketch by the reciprocal of scale factor . [because to sketch we need to multiply scale factor to the actual dimensions]

The reciprocal of the scale factor =
`15`

3 feet →
`3*15=45` feet

4.5 feet →
`4.5*15=67.5` feet

Hence, The dimensions of the actual dimensions of the room is 45 feet by 67.5 feet.