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

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

Answer 2

On blueprint , length of room is given by
`(45)/(2)` feet and width is given by 10 feet.

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 =
`(15)/(6)=(5)/(2)` feet

Thus, the scaling factor for 1 cm is
`(5)/(2)` feet.

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

On blueprint , length is given by
`(5)/(2)* 9=(45)/(2)` feet.

Also, given width of room is 4 cm

On blueprint , width is given by
`(5)/(2)* 4=10` feet.

Thus, On blueprint , length of room is given by
`(45)/(2)` feet and width is given by 10 feet.