Question: Show that, among all rectangles with given perimeter p, the square has the largest are. If a and b denote the lengths of adjacent sides

Show that, among all rectangles with given perimeter p, the square has the largest are. If a and b denote the lengths of adjacent sides of a rectangle of perimeter p, then the area is ab, and for square the area is a2 = [(a + b) / 2]2.

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