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a sport center is to be constructed.it consists of a rectangular region with a semicircle ach end .if the perimater of the room is to be a 500 meter running truck find the dimetion that will make the area as large as possible.

i can find if the picture only has a rectange.but the perimater of the half circle which is pir^2

p = 2lw + PI r

500=2lw + pi r

i don't know where to go after this please help me out

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# Lagrange multipliers help

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