If one measurement of a golden rectangle is 5.4 inches, which number could be the other measurement? a. 3.337 b. 7.018 c. 1.618 d. 3.782

A golden rectangle is a rectangle whose side lengths are in a golden ratio.

The golden ratio is:

1 : Φ which is approximately 1.618

Now, we are given that:

one side is 5.4 in

ration of sides is 1.618

This means that:

side1 / side2 = 1.618

5.4 / side2 = 1.618

1.618 side2 = 5.4

side2 = 5.4 / 1.618

side2 = 3.337 in

Based on the above calculations, the correct choice is:

a. 3.337