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, let's determine the scale factor by comparing the dimensions of the scale drawing to the actual dimensions.
Scale factor = Actual length / Length on the drawing
Scale factor = 32 ft / 8 inches
Scale factor = 48
Now, let's use the scale factor to find the actual width of the floor:
Actual width = Scale factor * Width on the drawing
Actual width = 48 * 5 inches
Actual width = 240 inches
Convert the actual width from inches to feet:
Actual width = 240 inches / 12 inches/ft
Actual width = 20 feet
Now, let's calculate the actual area of the floor:
Actual area = Actual length * Actual width
Actual area = 32 ft * 20 ft
Actual area = 640 square feet
Therefore, the actual area of the floor is 640 square feet, which is answer choice C.