Question

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.

Answer 1

The length of patio is l = 14 ft.

Determine the width of patio.

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

So width of of the patio is 9 foot.