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Answerthisnow

Sean is creating a series of rectangles, one inside the other. The length of the first rectangle, Rectangle A, is four inches. Sean dilates Rectangle A about its center by a scale factor of two to get Rectangle B. He repeats this process using the same scale factor till he gets a rectangle of length 32 inches. How many dilations did Sean perform including the dilation of Rectangle A?

  • one year ago
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  1. Answerthisnow
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    I think it's 5

    • one year ago
  2. thomasj
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    a to b gives length of 8. Next, 8 to 16 then 16 to 32. so he did it 3 times

    • one year ago
  3. integralsabiti
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    |dw:1335127852297:dw|

    • one year ago
  4. thomasj
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    inter is correct

    • one year ago
  5. Answerthisnow
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    oh ic

    • one year ago
  6. thomasj
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    what's next?

    • one year ago
  7. imagreencat
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    If you want a formula, you can actually use the geometric progression for this. Anought = 4 inches. Geometric ratio = 2 A sub n = 32 inches. n is the unknown. The solution for geo series is Asubn = (Anought)((geo ratio)^(n-1)) Substituting, we have: 32 = (4)((2)^(n-1)) 8 = 2^(n-1) 2^3 = 2^(n-1) 3=n-1 n=4 He did 4 dilations.

    • one year ago
  8. imagreencat
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    He did 3 dilations, i'm sorry. 32 inches was the length of his 4th rectangle. But the dilations didn't start from n=1 as this is the original rectangle, there weren't dilations performed.

    • one year ago
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