The scale drawing of the rectangular classroom floor has dimensions of 8 inches by 5 inches. The actual length of the longer side of the floor is 32 feet. What is the actual are of the floor in square feet?

A-40 ft
B-240ft
C-640ft
D-92160ft
Show your work for this problem.Be sure to show each step and explain using math vocabulary

1 answer

First, we need to find the scale factor used in the scale drawing.

Scale factor = actual length of longer side / length of longer side in scale drawing
Scale factor = 32 feet / 8 inches = 4

Next, we need to find the actual width of the floor.

Actual width = scale factor x width in scale drawing
Actual width = 4 x 5 inches = 20 feet

Now, we can calculate the actual area of the floor.

Actual area = actual length x actual width
Actual area = 32 feet x 20 feet = 640 square feet

Therefore, the actual area of the floor is 640 square feet. The correct answer is C-640ft.