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11 October, 13:26

A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 Miles. What is the actual area of the park? Show how you know.

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  1. 11 October, 15:32
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    The actual area 21600 miles²

    Step-by-step explanation:

    * Lets explain how to solve the problem

    - A drawing that shows a real object with accurate sizes reduced or

    enlarged by a certain amount called the scale

    - Drawing scale is a ratio between the drawing length and the

    actual length

    - To find the actual dimensions from the drawing dimensions use the

    scale drawing

    * Lets solve the problem

    - A map of a rectangular park has a length of 4 inches and a width

    of 6 inches

    ∴ The drawing dimensions are:

    # length = 4 inches

    # width = 6 inches

    - The scale of the map is 1 inch foe every 30 miles

    ∴ The scale drawing is 1 : 30

    - To find the actual area find the actual dimensions

    ∵ The scale drawing is 1 : 30

    ∵ The length = 4 inches and the width = 6 inches

    - By using cross multiplication

    ∴ 1 : 30

    4 : actual length

    6 : actual width

    ∴ Actual length = (4 * 30) / 1 = 120

    ∴ Actual length = 120 miles

    ∴ Actual width = (6 * 30) / 1 = 180

    ∴ Actual Width = 180 miles

    ∴ The actual dimensions are 120 miles and 180 miles

    ∵ The area of any rectangle = length * width

    ∴ The actual area = 120 * 180 = 21600

    ∴ The actual area 21600 miles²
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