The scale is 2 inches : 4 feet. Find the scale factor.

remember: 1 feet = 12 inches 4 feet = 48 inches
scale: 2 inches: 48 inches
The factor is 48 ÷ 2 = 24

Answered by Ryan2 | 2024-06-10

The scale factor for the scale 2 inches:4 feet is calculated by converting 4 feet to 48 inches and then dividing the scale measurement by the actual measurement, resulting in a scale factor of 1/24.
To find the scale factor of a scale given as 2 inches:4 feet, we must first express both measurements in the same units. Since 1 foot equals 12 inches, we can convert 4 feet into inches. Thus, 4 feet is 4 imes 12 inches, which equals 48 inches. Now, the scale can be written as a ratio of 2 inches to 48 inches.
To calculate the scale factor, we simply divide the scale measurement by the actual measurement:
Scale Factor = Scale measurement / Actual measurement = 2 inches / 48 inches.
After dividing, we find that the scale factor is 1/24. So, for every 1 inch on the scale, it represents 24 inches in reality.

Answered by NetaLeeHershlag | 2024-06-25

The scale factor for the scale of 2 inches to 4 feet is 24, indicating that 1 unit on the drawing is equal to 24 units in reality. This was determined by converting feet to inches and dividing the larger measurement by the smaller one. In this case, 3 feet are equivalent to 48 inches, so the scale becomes 2 inches to 48 inches.
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Answered by Ryan2 | 2024-10-01