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Math Help - optimization problem - need confirmation

  1. #1
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    optimization problem - need confirmation

    hey guys

    the problem is the legs of a triangle are x and y. find the equation that will maximize the area of the triangle given that 2x+y=18

    is the answer 40.5 cubic units

    thanks alot

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  2. #2
    MHF Contributor

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    Re: optimization problem - need confirmation

    I'm not sure what you are asking here. A general triangle does not have "legs". Is this a right triangle with legs x and y? In that case, the area is given by A= xy/2. If you are also required that 2x+y= 18 so that y= 18- 2x so the area is given by A= x(18- 2x)/2= 9x- x^2. That's a parabola and you can find a maximum value by completing the square.
    Thanks from ubhutto
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  3. #3
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    Re: optimization problem - need confirmation

    i was trying to help someone but thats all the question says, i calculated it like an isosceles triangle but thanks alot for looking into the question
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