Mathematics

Mary wants to build a fence around a rectangular area for a garden. She has 150 ft of fencing and she wants to leave 10 ft opening on side for a gate. In order to make a area of the garden. A maximum what should the dimensions of the garden will be?

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  1. 2x+2y-10 = 150
    x+y = 80

    area = xy = x(80-x)

    Just find the vertex of that parabola for maximum area.

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  2. 40

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