The Golden Rectangle

The golden rectangle

has side lengths in the ratio

$\phi ={\frac {1+{\sqrt {5}}}{2}}$

Which of the following rectangles is the closest to golden?

• A 3x5 card
• an 8.5x11 sheet of paper
• an 11x14 sheet of paper
• A piece of 8'x4' plywood

Links:

• More golden rectangle "applications"
• Fechner's experiments with the golden rectangle
• The golden ratio and aesthetics, by Mario Livio: "In spite of the Golden Ratio's truly amazing mathematical properties, and its propensity to pop up where least expected in natural phenomena, I believe that we should abandon its application as some sort of universal standard for "beauty," either in the human face or in the arts."
• An internet beauty contest of rectangles:
  • Poll 1
  • Poll 2
• the Museum of Harmony and Golden Section
• Fibonacci Numbers and the Golden Section
• The Cult of the Golden Ratio
• The Myth of the Golden Ratio