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15 February, 19:48

Marie wants to buy fencing and sod for her new triangular flower bed. One of the legs of the garden is 7 ft longer than the other and the hypotenuse is 1 ft longer. If sod cost $12.72 per sqft and fencing cost $4.23 per ft. How much would it cost Marie to purchase enough sod and fencing?

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  1. 15 February, 20:01
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    let's suppose x is the shortest leg of the triangle

    The perimeter of the flower bed is 3x+8 ft

    the surface to be coverd by sod would be x * (x+7) / 2 sqft

    (x+8) (x+8) = (x+7) ^2+x^2

    x'2+16x+64=x'2+14x+49+x^2

    x^2-2x=15

    x * (x-2) = 15

    x=5

    (15+8) * $4.23=$97.29 for fencing

    32.5sqft*$12.72=$413.4 for the sod
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