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) $9.09 \mathrm {~m}$

Question

Quizplus · Accepted Answer

The total area enclosed is a minimum when the square has a side length of $6.09 \mathrm {~m}$.

A Piece of Wire 14 m14 \mathrm {~m}14 m Long Is Cut into Two Pieces

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