Find the length of the golden rectangle whose width is 14.72

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To find the length of a golden rectangle, we can use the golden ratio. The golden ratio, symbolized by the Greek letter phi (Φ), is approximately 1.618. A golden rectangle is a rectangle where the ratio of the length to the width is equal to the golden ratio.

First, let's set up the equation using the golden ratio:

Length / Width = Φ

We know that the width of the rectangle is 14.72. Let's substitute this value into the equation:

Length / 14.72 = Φ

Now, we can solve for the length by multiplying both sides of the equation by 14.72:

Length = 14.72 * Φ

Now, we just need to calculate the value of Φ and multiply it by 14.72 to find the length of the golden rectangle. The value of Φ is approximately equal to 1.618.

Length ≈ 14.72 * 1.618

Calculating this gives us:

Length ≈ 23.85296

Therefore, the length of the golden rectangle with a width of 14.72 is approximately 23.85296.

The Golden Ratio = 1.618.

Therefore, the length would be 1.618(14.72) = 23.817.