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22 August, 09:21

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?

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  1. 22 August, 09:43
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    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
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