Math

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Brett wants to use 40 feet of twine to mark off a rectangular area in his yard for a garden. What are the length and width for a garden with the greatest area?

  • Math -

    or, less aggressively,

    if the garden is x by y feet,

    2x+2y=40
    x+y=20
    y=20-x

    area a = xy = x(20-x)

    a parabola reaches its vertex halfway between the roots. So, at x=10 we have max area.

    The garden is a 10x10 square.

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