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Calculus maxima minima help (1 Viewer)

abdog

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Math in focus HSC book
2.10 Q22. A park is to have a dog walking enclosure in the shape of a rectangle with a semi circle at the end, like so, IIIIIID, and a perimeter of 1200m. X is the length of the rectangle and Y is the width of the rectangle. Find the dimensions X and Y(to nearest meter) that maximises the area.

Please show your full working.

Thank you!
 

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