A running track is composed of a rectangle and two semi-circular ends. If the length of the track is 400 m, find the dimensions of the track so that the area of the rectangular portion of the track is as large as possible. What is the total area enclosed by the track?
Added by Magdalena O.
Step 1
Let the length of the rectangle be $l$ and the width be $w$. The two semi-circles have a combined diameter of $w$. Therefore, the total length of the track is $l + w\pi = 400$. Show more…
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