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In a golden rectangles we have:

l/w = (1 + √5)/2 ≈1.618

So,

25/w = 1.618

w = 25/1.618

w ≈ 15.451

Rectangle Area = lw

Rectangle Area = (25)(15.451)

Rectangle Area ≈ 386 cm^2

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Q: If the long side of a golden rectangle is 25 cm what is its area?
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A golden rectangle is a rectangle where the ratio of the length of the short side to the length of the long side is proportional to the ratio of the length of the long side to the length of the short side plus the length of the long side. It is said to have the "most pleasing" shape or proportion of any rectangle. The math is like this, with the short side = s and the long side = l : s/l = l/s+l Links can be found below to check facts and learn more. In ratio terms, the Golden Rectangle has a width/height ratio of 1.618/1.


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