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

1 answer

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

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

Now, we need to find the actual width of the floor by multiplying the drawing width by the scale factor:
Actual width = 5 inches * 4 = 20 feet

The actual area of the floor is:
Actual area = Actual length * Actual width
Actual area = 32 feet * 20 feet
Actual area = 640 square feet

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