aliSalvardyre
Answered

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

Verified Answer :

olemakpadu

Scale   1/15

Scale =  1 : 15

Sketch shows:   3  by 4.5

Actual =  (315)  by (4.5 15) =  45  by 67.5

Actual = 45 feet by 67.5 feet.

JeanaShupp

Answer: 45 feet by 67.5 feet.

Step-by-step explanation:

Given: To draw the sketch of the Roosevelt room in the white house=\(\frac{1}{15}\)

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 → \(3\times15=45\) feet

4.5 feet → \(4.5\times15=67.5\) feet

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

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