A Piece of Wire $14 \mathrm {~m}$ Long Is Cut into Two Pieces

Multiple Choice

A piece of wire $14 \mathrm {~m}$ long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How should the wire be cut for the square so that the total area enclosed is a minimum?
Round your answer to the nearest hundredth. Select the correct answer.

A) $0 \mathrm {~m}$
B) $6.09 \mathrm {~m}$
C) $8.09 \mathrm {~m}$
D) $10.09 \mathrm {~m}$
E) $9.09 \mathrm {~m}$