The line which represents the width of the room equal to 8 inches long on a blueprint, by the architect, has the size of the room 20 foot.
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.
On a blueprint, an architect drew a 12-inch line to represent the length of a 30-foot room. Thus, the scale factor of foot to inch is,
[tex]k=\dfrac{30}{12}[/tex]
Let suppose the line that represents the width of the room is 8 inches long, has the size of room in foot is x. Thus,
[tex]k=\dfrac{8}{x}\\\dfrac{12}{30}=\dfrac{8}{x}\\x=\dfrac{30\times8}{12}\\x=20[/tex]
Thus, the line which represents the width of the room equal to 8 inches long on a blueprint, by the architect, has the size of the room 20 foot.
Learn more about the scale factor here;
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