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JEE Math Practice Question

A wire of length 20 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into a regular hexagon. Then the length of the side (in meters) of the hexagon, so that the combined area of the square and the hexagon is minimum, is :

  1. A.$${5 \over {2 + \sqrt 3 }}$$
  2. B.$${{10} \over {2 + 3\sqrt 3 }}$$
  3. C.$${5 \over {3 + \sqrt 3 }}$$
  4. D.$${{10} \over {3 + 2\sqrt 3 }}$$

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