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 feet240 feet2
240 feet2240 feet2
640 feet2640 feet2
92,160 feet292,160 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 need to first calculate the scale factor. The scale factor is the ratio of the actual length to the length on the scale drawing.
Actual length = 32 feet
Scale drawing length = 8 inches = 8/12 feet = 2/3 feet
Scale factor = Actual length / Scale drawing length
Scale factor = 32 / (2/3)
Scale factor = 32 * 3 / 2
Scale factor = 48
Now, we can find the actual dimensions of the floor:
Actual length of shorter side = 5 * 48 = 240 feet
Actual length of longer side = 8 * 48 = 384 feet
Actual area = Actual length of shorter side * Actual length of longer side
Actual area = 240 * 384
Actual area = 92,160 square feet
Therefore, the actual area of the floor in square feet is 92,160 square feet.
yo u sure
I apologize for the mistake in my previous response. Let me correct it:
The scale factor is correct as 48. The actual length of the shorter side of the floor is 5 * 48 = 240 feet.
The actual length of the longer side is given as 32 feet, so the actual area of the floor is:
Actual area = 240 feet * 32 feet
Actual area = 7680 square feet
Therefore, the actual area of the floor in square feet is 7,680 square feet. Thank you for pointing out the error.