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A rectangular school banner has a length of 54 inches and a width of 36 inches. A sign is made that is similar to the school banner and has a length of 17 inches. What is the ratio of the area of the school banner to the area of the sign? $

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sqdancefan

Answer:

   2916/289 = 10 26/289 ≈ 10.09

Step-by-step explanation:

The ratio of areas of similar figures is the square of the scale factor. Here, the scale factor is the ratio of lengths, so is ...

  k = banner/sign = 54/17

The ratio of areas is k² = (54/17)² = 2916/289 = 10 26/289 ≈ 10.09

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