The length of the entire line which is subdivided according to golden ratio is 13.09 meters.
What is Golden Ratio?
The golden ratio is a special number approximately equal to 1.618
We find the golden ratio when we divide a line into two parts so that, the whole length divided by the long part is also equal to the long part divided by the short part
Let smaller part of a line be b and long part be a
Golden ratio = a + b/a = a/b = 1.618
According to the given question:
Length of smaller part of line = 5 meters
Let the longer length of the line be x
∴ Total length of line = 5 + x
Using Golden ratio to find the entire length of line
x/5 = 1.618
x = 8.09
Calculating length of entire line = 5 + x = 5 + 8.09 = 13.09
∴ Length of entire line is 13.09 meters
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