Question

A blueprint has a rectangle with length 12 inches and width 8 inches. The actual dimensions of the rectangle are 96 feet by 64 feet.

What was the scale used?



1 inch = 1 foot
1 inch = 8 feet
8 inches = 8 feet
1 inch = 12 feet

Answer 1

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.**