To find the scale used in the blueprint, we can compare the dimensions in the blueprint to the actual dimensions.
The dimensions on the blueprint are:
- Length: 12 inches
- Width: 8 inches
The actual dimensions are:
- Length: 96 feet
- Width: 64 feet
To determine the scale, we can convert the actual dimensions from feet to inches. Since 1 foot = 12 inches, we have:
- Actual length in inches: 96 feet * 12 inches/foot = 1152 inches
- Actual width in inches: 64 feet * 12 inches/foot = 768 inches
Now, we can calculate the scale by comparing the dimensions:
For length:
- Blueprint dimension: 12 inches
- Actual dimension: 1152 inches
- Scale = Actual dimension / Blueprint dimension = 1152 inches / 12 inches = 96
For width:
- Blueprint dimension: 8 inches
- Actual dimension: 768 inches
- Scale = 768 inches / 8 inches = 96
Since both calculations give us the same scale factor of 96, we can establish that the scale used is:
1 inch on the blueprint represents 96 inches in reality.
To express this scale in feet, since 96 inches is equal to 8 feet, this means:
1 inch = 8 feet.
Therefore, the correct scale used is 1 inch = 8 feet.
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