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10 March, 15:53

Kiyo is designing a rectangular garden with a 2-ft wide path all the way around it. The length of the garden is 3 times as long as the width. Kiyo models the area of his garden and the path with the equation f (x) = (x + 2) (3x + 2). Explain Kiyo's error

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  1. 10 March, 16:06
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    The correct equation that models the area if x (3x) or 3x² where x is the width of the path

    Step-by-step explanation:

    Area of a rectangle = Length * Width

    Width of the rectangular garden W = 2ft

    If the length of the garden is 3 times as long as the width, then length = 3 * width i. e W = 3L

    Since Area of the path A = L * W

    A = (3W) W

    A = 3W²

    If the width is the same as x then

    Area f (x) = (3x) (x)

    According to kyle, the area of his path f (x) = (x + 2) (3x + 2) which is wrong because of kyle addition of 2 to each of the value of the length and width respectively which kyle shouldn't have added any value to the dimension to the garden
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