An indoor physical-fitness room consists of a rectangular region with a semicircle on each end . The perimeter of the room is to be a 200-meter running track. What measurements will produce a maximum area of the rectangle?
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An indoor physical-fitness room consists of a rectangular region with a semicircle on each end . The perimeter of the room is to be a 200-meter running track. What measurements will produce a maximum area of the rectangle?
Do you have any other dimensions you forgot? Just checking.
The perimeter is
The area is
You could solve P for y and sub into A, then differentiate, set to 0 and solve for r.
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