proportion relating the lengths of the sides is .
When x equals 1, the proportion is equivalent to the equation
the quadratic formula gives
Since y must be a positive number to make sense in this problem,
use the positive value for the square root.
ratio equals .
To two decimal places, this is 0.62. This is the ratio of the lengths
of the sides of a golden rectangle, said to be the rectangle whose
proportions are most pleasing to the human eye.