Asked by Marty
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 200m running track. Find the dimension that will make the area of the rectangular as large as possible.
Answers
Answered by
bobpursley
Perimeter=2L + PI*W think about that.
Area=LW+PI*w^2/4
L from the first equation is (Perimeter-PI/W)1/2
Put that value of L in the second area equation, take the derivative of area with respect to W, set to zero, and solve for W. Then go back to the perimeter equation and solve for L.
Area=LW+PI*w^2/4
L from the first equation is (Perimeter-PI/W)1/2
Put that value of L in the second area equation, take the derivative of area with respect to W, set to zero, and solve for W. Then go back to the perimeter equation and solve for L.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.