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 feet2
40 feet2

240 feet2
240 feet2

640 feet2
640 feet2

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

Answer 1

To find the actual area of the floor in square feet, we first need to find the scale factor between the scale drawing and the actual dimensions.

Scale factor = Actual length / Length on the scale drawing
Scale factor = 32 feet / 8 inches = 4

Now we need to apply this scale factor to the width dimension of the scale drawing to find the actual width of the floor.

Actual width = Scale factor x Width on the scale drawing
Actual width = 4 x 5 inches = 20 feet

Now we can find the actual area of the floor.

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

Therefore, the actual area of the floor is 640 square feet.