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A
Logarithmic Spiral
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Strategies and Hints
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The two rectangles appear to be similar.
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A proportion relating the lengths of the sides is
.
When x equals 1, the proportion is equivalent to the equation
.
Using
the quadratic formula gives
y =
Since y must be a positive number to make sense in this problem, use the positive value for the square root.
Solution
The
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.
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