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

Respuesta :

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: 45 feet by 67.5 feet.

Step-by-step explanation:

Given: To draw the sketch of the Roosevelt room in the white house=[tex]\frac{1}{15}[/tex]

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 = [tex]15[/tex]

3 feet → [tex]3\times15=45[/tex] feet

4.5 feet → [tex]4.5\times15=67.5[/tex] feet

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