Question

Sarah has a floor plan of a room that is 5 inches wide and 6 inches long. The scale of the floor plan is 1/ 3 inch = 2 ft. What is the actual width of the room?

Answer 1

To answer this question, you could dad a couple things.

One of them is to set up a proportion with you original scale and then solve for the width.

1/3 inch:2 ft = 5 inches:x feet

Use cross multiplication to get:
2 x 5 = 1/3x
10 = 1/3x; divide both sides by 1/3

x = 30 feet

Another way to do this would be to figure out how many groups of 1/3 there are in 5 inches or 5÷1/3. This answer is 15. This means it would be 15 groups of 2 feet or 30 feet.

The width is 30 feet.