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Show that all the rectangles with a give...

Show that all the rectangles with a given perimeter, the square has the largest area.

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To show that among all rectangles with a given perimeter, the square has the largest area, we can follow these steps: ### Step 1: Define the Variables Let the length of the rectangle be \( L \) and the breadth be \( B \). The perimeter \( P \) of the rectangle is given by the formula: \[ P = 2L + 2B \] ...
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Statement I :Among all the rectangles of the given perimeter, the square has the largest area. Also among all the rectangles of given area, the square has the least perimeter. Statement II :For xgt0,ygt0,ifx+y = constant, then xy will be maximum for y=x and if xy=constant, then x+y will be minimum for y=x.

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