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29. Artists and architects often use the golden rectangle (also called the golden ratio) to determine the most visually pleasing proportions for their designs. The proportions of this rectangle specify that the linger side should be 1.618 times the shorter side. An artist wants to use this proportion for a rectangular design. If the shorter side of the design must be 3.5 in. Long, what should the longer side measure? (Round to the nearest tenth)

Respuesta :

The ratio of the golden square is

[tex]1\colon1.618[/tex]

Therefore, if the shorter side is given, we multiply by 1.618 to get the longer side.

If the shorter side is given as 3.5 in, the longer side is given by

[tex]\begin{gathered} 1.618\times3.5 \\ =5.663 \end{gathered}[/tex]

Therefore, the answer, to the nearest tenth, is 5.7 in.