The ancient Greeks believed that the most visually pleasing rectangles were those…

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

The ancient Greeks believed that the most visually pleasing rectangles were those whose length, ℓ\ell, and width, ww, satisfied the equation ℓ+wℓ=ℓw\frac{\ell+w}{\ell} = \frac{\ell}{w}. Find ℓ/w\ell/w. (This ratio is called the Golden ratio, and it appears in mathematics in many surprising places.)

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