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March 29, 2017

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A rectangular plot of land is 4 meters longer than it is wide. It's surrounded by a multicolored walk 1 m wide. The area of the walk is 32 m. What are the dimensions of the pool?

  • Math - ,

    area of plot = x(x+4)
    area of pool = (x-2)(x+2)

    so x(x+4) - (x-2)(x+2) = 32

    solve for x, sub into x-2 and x+2

    (I got x=7)

  • Math - ,

    Where did you get the x-2?

  • Math - ,

    If the plot is 7 m wide and there is a walkway of 1 m on either side of the pool, isn't the pool 5 m wide?
    so 7-2
    or x-2

    that is also how I got x+2 for the length of the pool, it was x+4, now take away 1 m from each side.....

  • Math - ,

    Thanks!

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