Respuesta :
For an apartment, the scale factor of the map is 1/60 and the kitchen's actual width of the is 12 ft wide.
What is scale factor?
Scale factor is the factor which is used to enlarge or smaller the original figure.
Scale factor is the ratio of representation measurement of the figure to the original figures.
The balcony of an apartment is 4 feet wide by 7 feet long. On a scale drawing of the apartment, the balcony is 0. 8 inches wide by 1. 4 inches long.
The actual length of the balcony is 7 feet or 84 in (1 ft = 12in), and on scale the length of the balcony is 1.4 in. Thus, the scale factor is,
[tex]r=\dfrac{1.4}{84}\\r=\dfrac{1}{60}[/tex]
Thus, the scale factor is 1/60.
The length of the kitchen is 2.8 in on map. Let L is the actual length of the kitchen. Therefore,
[tex]r=\dfrac{2.8}{L}\\\dfrac{1}{60}=\dfrac{2.8}{L}\\L=168\rm in\\L=14\rm ft[/tex]
The width of the kitchen is 2.4 in on map. Let W is the actual width of the kitchen. Therefore,
[tex]r=\dfrac{2.4}{W}\\\dfrac{1}{60}=\dfrac{2.4}{W}\\W=144\rm in\\W=12\rm ft[/tex]
Thus, For an apartment, the scale factor of the map is 1/60 and the kitchen's actual width of the is 12 ft wide.
Learn more about the scale factor here;
https://brainly.com/question/10253650
