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22 February, 19:56

Stacey has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches off of the width. The area of the smaller square is 1/4 the area of the original square. What was the side length of the original square?

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Answers (2)
  1. 22 February, 22:08
    0
    6 inchs

    Step-by-step explanation:

    Just took test
  2. 22 February, 22:36
    0
    6 inches

    Step-by-step explanation:

    Let the original side of the square be x units.

    Then area of the square = x square

    When 3 inches is cut from both length and width the square becomes a smaller square with side x-3

    New area = area of smaller square = (x-3) (x-3)

    Given that smaller square is 1/4 the area of big square

    i. e. (x-3) (x-3) = 1/4 (x) (x)

    Take square root both the sides

    (x-3) = x/2

    Or 2x-6 = x

    x = 6 inches.
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