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The ratio of the length to the width of a golden rectangle is (1+√ 5):2 The dimensions of a patio form a golden rectangle. The length of the patio is 14 feet. Find the width w of the patio. Round your answer to the nearest foot.

Respuesta :

The length of patio is l = 14 ft.

Determine the width of patio.

[tex]\begin{gathered} \frac{l}{w}=\frac{1+\sqrt[]{5}}{2} \\ \frac{14}{w}=\frac{1+\sqrt[]{5}}{2} \\ w=\frac{28}{1+\sqrt[]{5}} \\ =\frac{28}{1+2.236} \\ =\frac{28}{3.236} \\ =8.652 \\ \approx9 \end{gathered}[/tex]

So width of of the patio is 9 foot.

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