A model boat is 13.2 inches long. The scale of the model to the original is 2 inches : 5 feet. How long is the boat?

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