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? Responses
40 feet^2
240 feet^2
640 feet^2
92,160 feet^2
Question 2:
Show your work for this problem. Be sure to show each step and explain using math vocabulary.
max word limit is 10,000, but make it short
make the explanation short and simple
First, calculate the scale factor by dividing the actual length by the length on the drawing: 32 feet / 8 inches = 48. Then, square the scale factor to find the area ratio: 48^2 = 2,304. Finally, multiply the area of the drawing by the area ratio to find the actual area: 40 ft^2 x 2,304 = 92,160 ft^2. So, the actual area of the floor is 92,160 square feet.
are you sure?
Apologies for the error in my previous response. Let's recalculate.
First, calculate the scale factor by dividing the actual length by the length on the drawing: 32 feet / 8 inches = 48. Square the scale factor to find the area ratio: 48^2 = 2,304.
Next, find the area of the drawing, which is 8 inches x 5 inches = 40 square inches. Convert this to square feet by dividing by 144 (since 1 square foot = 144 square inches): 40 square inches / 144 = 0.2777 square feet.
Finally, multiply the area of the drawing by the area ratio to find the actual area: 0.2777 square feet x 2,304 = 640.08 square feet.
So, the actual area of the rectangular classroom floor is approximately 640 square feet.
explain how 640 is the answer and make it short and simple.
The actual area of the rectangular classroom floor is 640 square feet. This is calculated by using the scale factor to convert the area of the scale drawing (40 square inches) to square feet, and then multiplying by the area ratio (2,304).
explain and show how 640 is the answer, and make it short and simple.
1. Calculate the area of the scale drawing: 8 inches x 5 inches = 40 square inches.
2. Convert the area of the scale drawing to square feet: 40 square inches / 144 = 0.2777 square feet.
3. Determine the area ratio: (scale factor)^2 = 48^2 = 2,304.
4. Multiply the area of the scale drawing by the area ratio: 0.2777 square feet x 2,304 = 640.08 square feet.
Therefore, the actual area of the rectangular classroom floor is approximately 640 square feet.