If a rectangle that has the width of 5 cm and a link that would be close to forming the golden ratio between the length and the width of the rectangle is 1.6/1 what is the length of the rectangle?

Question

If the rectangle has the creek for portions it will make to the golden rectangle

Answer 1

The Golden Ratio is the solution of x=1/(1+x) which is the quadratic equation x^2+x-1=0. x=(-1+sqrt(5))/2=0.61803... and -1.61803... Significantly, 1/0.61803... = 1.61803.... So using 1.61803 as the ratio quoted, the length of the rectangle is 8.09cm approx. Therefore a close approximation for the length is 8cm.