Answer:
87.372 inches by 54 inches
Explanation:
You want the dimensions of the largest golden rectangle that will have 54 inches as one of its dimensions.
Cloth
The cloth can be as long as we like, but is restricted to 54 inches in width. So, we want to make the "1" side of the rectangle be 54 inches. Then the "1.618" side of the rectangle is ...
1.618 · (54 inches) = 87.372 inches
The banner can be as large as 87.372 inches by 54 inches.
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