A wire of length 20 m is to be cut into two pieces

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

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: (a) 52+3\frac{5}{2+\sqrt{3}} (b) 102+33\frac{10}{2+3\sqrt{3}} (c) 53+3\frac{5}{3+\sqrt{3}} (d) 103+23\frac{10}{3+2\sqrt{3}}

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