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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23-10-2017
Mathematics

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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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W0lf93 W0lf93 · Answer 1 · 2017-11-01T13:37:00+01:00

W0lf93 W0lf93

01-11-2017

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.

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