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14 September, 00:50

If one side of a square is increased by 12 feet and the side connected to it is decreased by three feet, a rectangle is formed. The perimeter of the rectangle is 62 feet. How long was the side of the original square?

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  1. 14 September, 00:57
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    Answer:the length of each side of the square is 11 feet

    Step-by-step explanation:

    All the sides of a square are equal.

    Let x represent the length of each side of the square.

    If one side of a square is increased by 12 feet and the side connected to it is decreased by three feet, a rectangle is formed. It means that the dimensions of the rectangle formed are a + 12 and a - 3

    The formula for determining the perimeter of a rectangle is expressed as

    Perimeter = 2 (L + W)

    The perimeter of the rectangle is 62 feet. Therefore

    62 = 2[ (a + 12) + (a - 3) ]

    62 = 2 (2a + 9) = 4a + 18

    4a = 62 - 18 = 44

    a = 44/4 = 11 feet
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