Question

On a given blueprint, 1 inch = 12 feet. If the dimensions of a recreation room on the blueprint are

2 inches x 1.75 inches, what are its actual measurements?
1. 1 ft x 12 ft
2. 6 ft x 7 ft
3. 22ft x 18 ft
4. 24 ft x 21 ft

Answer 1

The actual measurements of the recreation room on the blueprint, using the scale where 1 inch equals 12 feet, are 24 feet by 21 feet.

To find the actual measurements of a recreation room from a blueprint where 1 inch equals 12 feet, you multiply each dimension on the blueprint by the scale factor. Since the room measures 2 inches by 1.75 inches on the blueprint, we multiply each dimension by 12. Therefore, for length, 2 inches times 12 feet per inch equals 24 feet. For width, 1.75 inches times 12 feet per inch equals 21 feet. The actual measurements of the room are 24 feet by 21 feet.

The actual dimensions of the recreation room are 24 feet in length and 21 feet in width.