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. And write it like a 7 grader
To find the actual area of the floor in square feet, we first need to find the scale factor that relates the dimensions of the scale drawing to the actual dimensions.
The scale factor can be found by dividing the actual length of the longer side of the floor by the length of the longer side in the scale drawing:
32 feet / 5 inches = 6.4
This means that each inch in the scale drawing represents 6.4 feet in actual size.
Next, we need to find the actual dimensions of the floor in feet by multiplying the dimensions of the scale drawing by the scale factor:
Longer side: 8 inches * 6.4 = 51.2 feet
Shorter side: 5 inches * 6.4 = 32 feet
Finally, we find the actual area of the floor by multiplying the actual dimensions:
Area = 51.2 feet * 32 feet = 1638.4 square feet
Therefore, the actual area of the floor in square feet is 1638.4 square feet.
(Answer: 1638.4 feet2)