Question
A blueprint for a house has a scale of 1 : 35 (in : in). A wall in the blueprint is 3 inches. What is the length (in feet) of the actual wall?
(1 point)
Responses
105 feet
105 feet
8.75 feet
8.75 feet
8.75 inches
8.75 inches
1,260 feet
1,260 feet
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To find the length of the actual wall, we need to use the scale ratio.
The ratio 1 : 35 means that 1 inch in the blueprint corresponds to 35 inches in real life.
Therefore, to find the length of the actual wall, we need to multiply the length of the wall in the blueprint (3 inches) by the scale ratio (35).
3 inches * 35 = 105 inches.
To convert inches to feet, we divide by 12 (since there are 12 inches in a foot).
105 inches / 12 = 8.75 feet.
Therefore, the length of the actual wall is 8.75 feet.
Choice: 8.75 feet
To find the length of the actual wall, you need to convert the length of the wall on the blueprint to the actual length using the given scale.
The scale is 1 : 35 (in : in), which means that 1 inch on the blueprint represents 35 inches in reality.
Since the wall on the blueprint is 3 inches, you can multiply this by the scale factor to find the actual length:
3 inches * 35 inches/1 inch = 105 inches
To convert this to feet, divide by 12 (since there are 12 inches in a foot):
105 inches / 12 inches/foot = 8.75 feet
Therefore, the length of the actual wall is 8.75 feet.
So, the correct answer is:
8.75 feet