Final answer:
To find the difference in length between two blueprints with different scales, we first calculate the length on each blueprint using the scale factors provided. Blueprint A's scale results in a length of 55 inches, while Blueprint B's scale results in a length of 11 inches. The difference between these lengths is 44 inches.
Step-by-step explanation:
The question relates to scale factors and the comparison of lengths represented in different scales on blueprints. To solve this problem, we must first calculate the length of the object on each blueprint using their respective scale factors:
- Blueprint A: The scale is 2 inches to 1 foot. Since there are 12 inches in a foot, the actual length is 330 inches which is equal to 27.5 feet (330 inches ÷ 12 inches/foot). Now, using the scale of 2 inches for 1 foot, the length on the blueprint will be 27.5 feet × 2 inches/foot = 55 inches.
- Blueprint B: The scale is 1 inch to 30 inches. So the length on the blueprint will be 330 inches ÷ 30 = 11 inches.
To find the difference in inches between the lengths of the two drawings, we subtract the length of the object on Blueprint B from the length of the object on Blueprint A:
55 inches - 11 inches = 44 inches.
Therefore, the difference in inches between the lengths of the object on the two blueprints is 44 inches.