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A rectangle whose​ width-to-length ratio is approximately 5 to 8 is called a golden rectangle and is said to be pleasing to the eye. Using this​ ratio, what should the length of a rectangular picture be if its width is to be 70 ​inches?

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Answer:

In order to be a golden rectangle, the length of a rectangular picture has to be 112, if its width is 70 ​inches.

Step-by-step explanation:

If a golden rectangle has the width-to-length ratio [tex]\frac{5}{8}[/tex] then

[tex]\frac{5}{8}[/tex] =[tex]\frac{70}{width}[/tex]

From this equation, we get 8×70=5×width

And width=[tex]\frac{8*70}{5}[/tex]=112

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