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

Answer : $\large\frac{224}{\pi+4m}$ and $\large\frac{20}{\pi+4m}$ radius $\large\frac{20}{\pi+4m}$