Question

39 multiple choice 2 points does the ratio of the lengths of the sides of a rectangle that is 48 in. by 64 in. match the golden ratio?

Explanation:

Step1: Calculate the ratio of the sides

The ratio of the sides of the rectangle is $\frac{48}{64}=\frac{3}{4} = 0.75$

Step2: Recall the Golden Ratio value

The Golden Ratio $\varphi=\frac{1 + \sqrt{5}}{2}\approx1.618$, and its reciprocal $\frac{1}{\varphi}\approx0.618$

Answer:

No, the ratio of the sides of the rectangle ($0.75$) does not match the Golden Ratio (approximately $1.618$ or $0.618$)