Question

Kelsey found the blueprint of a movie theater. It shows the hallway between rooms to be 9 inches long. If the scale is 2 in = 4.4 feet, then what is the length of the hallway in real life?

a. 39.6 ft
b. 17.6 ft
c. 11.4 ft
d. 19.8 ft

Answer 1

To find the real-life length of the hallway, we divided the blueprint measurement by the scale unit and then multiplied the result by the scale's real-life measurement, resulting in a hallway that is 19.8 feet long.

Step-by-step explanation:

Kelsey found the blueprint of a movie theater that shows the hallway between rooms to be 9 inches long. Given that the scale is 2 inches equals 4.4 feet, to determine the actual length of the hallway in real life, we need to first find out how many times the scale fits into the 9-inch measurement of the hallway on the blueprint.

To do this, we divide 9 inches by the scale unit, which is 2 inches:

9 inches ÷ 2 inches = 4.5

This means the scale factor of 2 inches = 4.4 feet applies 4.5 times. To find the real-life length, we multiply 4.4 feet by 4.5:

4.4 feet × 4.5 = 19.8 feet

Therefore, the length of the hallway in real life is 19.8 feet.