Question

Rectangle *ACEF* shown in the figure is a golden rectangle. It is constructed from square *ACDB* by holding line segment *OB* fixed at point *O* and then letting point *B* drop down until *OB* aligns with *CD*. The ratio of the length to the width in the golden rectangle is called the golden ratio. Find the lengths below to arrive at the golden ratio. (Let a = 4.)

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