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 2 40 feet2 240 feet2 2 240 feet2 640 feet2 2 640 feet2 92,160 feet2 2 92,160 feet2 Question 2 Show your work for this problem. Be sure to show each step and explain using math vocabulary
To find the actual area of the floor in square feet, we first need to find the scale factor used in the drawing.
The longer side of the floor in the drawing is 8 inches, while the actual longer side is 32 feet. To find the scale factor, we can set up the following ratio:
8 inches / 32 feet = 1/x
Cross multiply to solve for x:
8 * x = 32
x = 32 / 8
x = 4
So the scale factor used in the drawing is 4.
Next, we need to find the actual dimensions of the floor in feet. The actual longer side is 32 feet, so the actual shorter side would be 5 * 4 = 20 feet.
The actual area of the floor is then:
32 feet * 20 feet = 640 square feet
Therefore, the actual area of the floor in square feet is 640 feet2.