To find the actual area of the floor in square feet, we first need to find the scale factor between the scale drawing and the actual dimensions of the room.
Given:
Scale drawing dimensions: 8 inches by 5 inches
Actual longer side: 32 feet
We first need to convert the scale drawing dimensions to feet:
1 inch = 1/12 feet
Scale drawing dimensions:
8 inches = 8/12 feet = 2/3 feet
5 inches = 5/12 feet
Scale factor for the longer side:
32 feet / (2/3 feet) = 32 / 2/3 = 32 * 3/2 = 96/2 = 48
Now, we find the actual dimensions of the room:
Longer side: 32 feet
Shorter side: 48 * (5/12) = 48 * 5/12 = 20 feet
Now we can find the actual area of the room:
Area = length * width
Area = 32 feet * 20 feet
Area = 640 square feet
Therefore, the actual area of the floor is 640 square feet. The correct option is:
• 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)
• 40 feet?
• 240 feet?
• 640 feet?
O 92,160 feet?
Show your work for this problem. Be sure to show each step and explain using math vocabulary.
1 answer
1 answer