Answer:
The boat is 33 feet long
Step-by-step explanation:
* Lets explain how to solve the problem
- The scale factor is a ratio between the drawing length and the
actual length
- The two terms of the ratio must have the same unit, then the two
terms of the scale factor must have the same units
* Lets solve the problem
- The scale drawing is 2 inches : 5 feet
∵ 1 foot = 12 inches
∴ 5 feet = 5 × 12 = 60 inches
∴ The scale drawing is 2 : 60
- Simplify it by dividing each term by 2
∴ The scale factor is 1 : 30
∵ The length of the model boat is 13.2 inch
∴ 1 : 30
13.2 : actual length
- By using cross multiplication
∴ The actual length = (13.2 × 30)/1 = 396 inches
∵ The actual length is 396 inches
∵ 1 inch = 1/12 feet
∴ The actual length of the boat = 396 × 1/12 = 33 feet
* The boat is 33 feet long
