Question

On a blueprint, the scale indicates that 6 cm represent 15 feet. what is the length of a room that is 9 cm long and 4 cm wide on the blueprint?

Answer 1

Answer:

On blueprint , length of room  is given by $\frac{45}{2}$ 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 = $\frac{15}{6}=\frac{5}{2}$ feet

Thus, the scaling factor for 1 cm is $\frac{5}{2}$ feet.

Thus, for length of a room  is 9 cm long.

On blueprint , length is given by $\frac{5}{2}\times 9=\frac{45}{2}$ feet.

Also, given width of room is 4 cm

On blueprint , width is given by $\frac{5}{2}\times 4=10$ feet.

Thus, On blueprint , length of room  is given by $\frac{45}{2}$ feet and width is given by 10 feet.

Answer 2

2 cm = 5 feet
1 cm = 2.5 feet

9 cm = 9 * 2.5 = 22.5 feet by
4 cm = 4 * 2.5 = 10.0 feet