Grade 12 calculus, derivatives. Show your work

Question 3 {8 points] An athletics track has two \"straights" of length I in and have semicircular ends cf radius I rn. The perimeter of the entire \"oval" shape is 4 111. What values of i and x maximize the shaded rectangle inside the track? Leas-e answers in exact form. Friendly Reminder: Circumference 2 Ear Area Circle 2 Hr2

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