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24 September, 22:21

The rectangle below has a length of 3x2+7x-5and a width of - x2-4x+2. Find the perimeter of the rectangle and explain how you arrived at your solution.

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  1. 24 September, 23:36
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    P = 4x² + 6x - 6

    Step-by-step explanation:

    We will use the formula for perimeter in terms of side lengths, then fill in the values given for the side lengths and simplify the result.

    The perimeter (P) of a rectangle is given by the formula ...

    P = 2 (L + W)

    where L and W represent the length and width. Filling in your given information, we have ...

    P = 2 ((3x² + 7x - 5) + (-x² - 4x + 2)) j

    Collecting terms inside parentheses gives ...

    P = 2 ((3-1) x² + (7-4) x + (-5+2)) = 2 (2x² + 3x - 3)

    Using the distributive property gives ...

    P = 4x² + 6x - 6
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