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13 March, 21:51

The width of a rectangle is the length minus 2 units. The area of the rectangle is 35 units. What is the width, in units, of the rectangle?

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  1. 13 March, 23:59
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    Answer: width = 5 units

    Step-by-step explanation:

    Let L represent the length of the rectangle.

    The width of a rectangle is the length minus 2 units. It means that the width of the rectangle is (L - 2) units.

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

    Area = length * width

    The area of the rectangle is 35 units. It means that

    L (L - 2) = 35

    L² - 2L = 35

    L² - 2L - 35 = 0

    L² + 5L - 7L - 35 = 0

    L (L + 5) - 7 (L + 5) = 0

    L - 7 = 0 or L + 5 = 0

    L = 7 or L = - 5

    Since the length cannot be negative, then

    L = 7 units

    Width = 7 - 2 = 5 units
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