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
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.