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.

Question

What is the actual area of the floor in square feet?

(2 points)
Responses

40 feet240 feet2

240 feet2240 feet2

640 feet2640 feet2

92,160 feet292,160 feet2
Question 2
Show your work for this problem. Be sure to show each step and explain using math vocabulary

Answer 1

First, we need to find the scale factor between the scale drawing and the actual dimensions.

Scale factor = Actual length / Scale length
Scale factor = 32 feet / 8 inches = 4

Next, we need to apply the scale factor to find the actual width of the floor.
Actual width = Scale width x Scale factor
Actual width = 5 inches x 4 = 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.