Answer:
On blueprint , length of room is given by [tex]\frac{45}{2}[/tex] feet and width is given by 10 feet.
Step-by-step explanation:
Given: On a blueprint, the scale indicates that 6 cm represent 15 feet.
We have to find the value of the length of a room that is 9 cm long and 4 cm wide on the blueprint.
Since, the scale indicates that 6 cm represent 15 feet
That is 6 cm = 15 feet
1cm = [tex]\frac{15}{6}=\frac{5}{2}[/tex] feet
Thus, the scaling factor for 1 cm is [tex]\frac{5}{2}[/tex] feet.
Thus, for length of a room is 9 cm long.
On blueprint , length is given by [tex]\frac{5}{2}\times 9=\frac{45}{2}[/tex] feet.
Also, given width of room is 4 cm
On blueprint , width is given by [tex]\frac{5}{2}\times 4=10[/tex] feet.
Thus, On blueprint , length of room is given by [tex]\frac{45}{2}[/tex] feet and width is given by 10 feet.
