Of all rectangles with a fixed perimeter of p, which one has the maximum area? (give the dimensions in terms of p.)

Question

Mathematics

James Andersen

17 February, 06:30

Of all rectangles with a fixed perimeter of p, which one has the maximum area? (give the dimensions in terms of p.)

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Mariela Vaughn · Answer 1

For all rectangles with a fixed perimeter of p the rectangle with the maximum area is one where the length is p/4 and the width is p/4, in other words a square. The area of such a rectangle would be (p*p) / 16.