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A wire of length 36 cm is cut into two ...

A wire of length 36 cm is cut into two pieces . One of the pieces will be bent into the shape of a square and the other into the shape of an equilateral triangle . Find the length of each piece so that the sum of the areas of the square and triangle is minimum.

Text Solution

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The correct Answer is:
`(144sqrt(3))/(9+4sqrt(3)) "cm" and (324)/(9+4sqrt(3)) "cm"`
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