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1 April, 10:22

The width of a rectangle is 9 inches more than 5 times the length. If x represents the length, write an algebraic expression in terms of x that represents the perimeter of the rectangle. Simplify the expression.

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  1. 1 April, 10:48
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    The expression that represents the perimeter of the rectangle is "12*x + 18", where "x" is the length of the rectangle.

    Step-by-step explanation:

    In order to solve this question we were given an expression that relates both dimensions of the rectangle. This expression in a mathematical form where "x" is the length and "y" is the width is shown bellow:

    y = 9 + 5*x

    The perimeter of a rectangle is given by:

    perimeter = 2*length + 2*width

    perimeter = 2*x + 2 * (9+5*x)

    perimeter = 2*x + 18 + 10*x

    perimeter = 12*x + 18

    The expression that represents the perimeter of the rectangle is "12*x + 18", where "x" is the length of the rectangle.
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