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 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)
To find the actual area of the floor in square feet, we need to use the scale factor to convert the dimensions of the scale drawing into actual dimensions.
First, we calculate the scale factor:
Scale factor = actual length / length on drawing = 32 feet / 8 inches = 48
Next, we use the scale factor to find the actual dimensions of the floor:
Actual length = 48 * 8 inches = 384 inches = 32 feet
Actual width = 48 * 5 inches = 240 inches = 20 feet
Now, we calculate the actual area of the floor:
Actual area = Actual length * Actual width = 32 feet * 20 feet = 640 feet^2
Therefore, the actual area of the floor is 640 square feet.