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14 April, 15:16

Rosa just finished installing a small koi pond in her back yard and now needs to re-sod. One side of the koi pond is 2 feet shorter than the other. One side of the garden is three times the longer side of the koi pond; and the other side of the garden is five feet longer than the first side. How much sod does Rosa need to buy?

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  1. 14 April, 16:18
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    The sketch of the garden and the pond is shown below

    Area of garden = length * width

    Area of garden = [3x + 5] * 3x

    Area of garden = 3x[3x+5]

    Area of garden = 9x² + 15x

    Area of pond = [x-2] * x

    Area of pond = x[x-2]

    Area of pond = x² - 2x

    Area to be re-sod = Area of garden - Area of pond

    Area to be re-sod = 9x² + 15x - [x² - 2x]

    Area to be re-sod = 9x² - x² + 15x + 2x

    Area to be re-sod = 8x² + 17x

    The amount of sod needed to be bought would depend on how much in each packaging they are being sold.
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