First, we need to find the scale factor used in the scale drawing. 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 / 8 inches = 48
Therefore, the scale factor is 48.
Next, we need to find the area of the floor in the scale drawing. The area can be found by multiplying the dimensions of the scale drawing:
8 inches * 5 inches = 40 square inches
Now, we need to find the actual area of the floor in square feet. To do this, we need to convert the scale drawing area to square feet and then multiply by the square of the scale factor to account for the area enlargement:
40 square inches * (1 foot / 12 inches)^2 = 40/144 square feet = 0.27778 square feet
Finally, we multiply the actual area in square feet by the square of the scale factor:
0.27778 square feet * 48^2 = 0.27778 * 2304 = 640 square feet
Therefore, the actual area of the floor in square feet is 640 feet. The correct answer is O 640 feet.
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)
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O 40 feet?
O 240 feet?
O 640 feet?
O 92.160 feet?
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tter7
Show your work for this problem. Be sure to show each step and explain using math vocabulary.
1 answer