Question

1. the floorplan of a restaurant shows a scale of 1 inch to 12 feet. the floorplan shows the area of the restaurant as 60 square inches. hoang says the actual area of the restaurant is 720 square feet. is hoang correct? explain your thinking.

Explanation:

Step1: Determine the scale - factor for area

The linear scale is 1 inch to 12 feet. For area, the scale - factor is the square of the linear scale - factor. Since the linear scale factor is 12 (1 inch represents 12 feet), the area scale - factor is $12^2=144$.

Step2: Calculate the actual area

The area on the floor - plan is 60 square inches. To find the actual area, we multiply the area on the floor - plan by the area scale - factor. So the actual area $A = 60\times144=8640$ square feet.

Answer:

No, Hoang is not correct. The actual area of the restaurant is 8640 square feet, not 720 square feet.