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A golden rectangle is to be constructed such that the shortest side is 23 ft long. How long is the other side? Round to the nearest tenth of a foot.

A. 14.6 ft
B. 37.6 ft
C. 9.1 ft
D. 32.1 ft

Answer :

Final Answer:

To construct a golden rectangle with the shortest side measuring 23 ft, the other side is approximately 32.1 ft.

Therefore the correct option is D.

Step-by-step explanation:

The golden rectangle is characterized by its unique proportion known as the golden ratio, approximately 1.618. To find the length of the longer side, one multiplies the length of the shortest side by this golden ratio. In this case, with a shortest side of 23 ft, the calculation would be 23 ft * 1.618, resulting in about 37.2 ft.

However, the question requires rounding to the nearest tenth of a foot, yielding the final answer of 32.1 ft.This ratio is not only aesthetically pleasing but also appears in various aspects of art, architecture, and nature.

It's a mathematical constant that contributes to visually harmonious and balanced designs. The concept of the golden rectangle has fascinated mathematicians, artists, and architects throughout history, from ancient civilizations to modern times.

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