An interior designer is planning a room but needs to first figure out the dimensions. The length of the room is 23 inches on the architect's plan. What is the actual length of the room in feet if the scale of the plan is 1.5 inches to 2 feet?

2.56 feet

30.67 feet

34.5 feet

17.25 feet

30.67 feet

Step-by-step explanation:

A proportion is often useful for solving scale drawing problems.

actual size : drawing size = (room length) : (23 in) = (2 ft) : (1.5 in)

Multiplying by 23 in gives ...

room length = (2 ft) (23 in) / (1.5 in) = 46/1.5 ft = 30 2/3 ft

room length ≈ 30.67 ft.