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2 August, 01:18

A scale drawing of a square object has a scale of 1 in. : 6 mm. The scale drawing has a length of 2.4 inches. Find the perimeter and the area of the object in the scale drawing. Then find the perimeter and area of the actual object.

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  1. 2 August, 03:33
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    A) Perimeter = 9.6 inches

    Area = 5.76 inches ^2

    B) Perimeter = 57.6 mm

    Area = 207.37 mm^2

    Step-by-step explanation:

    The perimeter and the area of the object in the scale drawing.

    Perimeter = 2.4 x 4 = 9.6 inches

    Area = 2.4 * 2.4 = 5.76 inches ^2

    Then find the perimeter and area of the actual object.

    If 1 inch = 6mm, and we have 2.4inches, then we need to multiply: 2.4 * 6 = 14.4

    So each side of the square is 14.4 mm long

    The perimeter of a square is 4 equal sides, so you will need to multiply 14.4 and 4

    14.4*4 = 57.6mm

    The area of a square is the length times its width. So that means to find the area, you will need to multiply 14.4 and 14.4 together.

    14.4 * 14.4 = 207.36mm^2
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