Question

A blueprint has a scale of 2 in equals 3 ft. The original blueprint has a length of 14 in and a width of 12. The blueprint is changed to a length of 16.8 inches. What is the new scale?

A. 2 in equals 3.6 ft
B. 2 in equals 3.2 ft
C. 2 in equals 3.8 ft
D. 2 in equals 3.4 ft

Answer 1

The new scale for the blueprint when the length is changed to 16.8 inches is 2 inches equals 3.6 feet, corresponding to Option A.

Step-by-step explanation:

The original blueprint has a scale of 2 inches equals 3 feet. When the blueprint is changed to have a length of 16.8 inches, we need to find the new scale that maintains the same proportion. First, we calculate the scale factor used for the change in dimensions on the blueprint. The original length is 14 inches, which is now 16.8 inches. Therefore, the scale factor is 16.8 / 14 = 1.2. We then apply this scale factor to the original scale: 3 feet (original scale) × 1.2 (scale factor) = 3.6 feet. So, the new scale is 2 inches equals 3.6 feet, which corresponds to Option A.