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

Answer:

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

Step-by-step explanation:

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

  1 cm represents 16/7 ft.

9.8 cm represents

$\dfrac{16\times 9.8}{7}\\\\=22.4ft.$

5 cm represents

 $\dfrac{16\times 5}{7}\\\\=11.43ft.$

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