Question

On a blueprint, the scale indicates that 7 cm represent 16 ft. What is the length of a room that is 9.8 cm long and 5 cm wide on the blueprint?

Answer 1

The room is 22.4 feet long

7cm=16ft
9.8cm=?ft

7cm 9.8cm
______=______
16ft x ft

Cross multiply
7x=156.8
divide both sides by 7
x=22.4 ft

Answer 2

The length of a room that is 9.8 cm long and 5 cm wide on the blueprint is:

22.4 ft. long and 11.43 ft. wide

Explanation:

On a blueprint, the scale indicates that 7 cm represent 16 ft.

1 cm represents 16/7 ft.

9.8 cm represents

`(16* 9.8)/(7)\\\\=22.4ft.`

5 cm represents

`(16* 5)/(7)\\\\=11.43ft.`

Hence, the length of a room that is 9.8 cm long and 5 cm wide on the blueprint is:

22.4 ft. long and 11.43 ft. wide