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help123please.

  • 3 years ago

Two rectangles are similar. Rectangle ABCD has a length of 5 in and a width of 10 in. Rectangle ABCD is dilated by a scale factor of 4 to form rectangle FGHJ. Answer these questions using the information provided: 1. How is the area affected by the dilation? 2. How is the perimeter affected by the dilation?

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  1. RadEn
    • 3 years ago
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    to get the length and the width of rectangle of FGHJ, just multiply by 4 from the length and the width of rectangle ABCD. so, l = 4 * 5 = 20 w = 4 * 10 = 40 now, to get area use the formula : area = length * width = 20 * 40 = .... in

  2. help123please.
    • 3 years ago
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    Thanks; let me read your reply.

  3. help123please.
    • 3 years ago
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    It might take a few mins,ok?

  4. help123please.
    • 3 years ago
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    60 in,yes?

  5. RadEn
    • 3 years ago
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    for perimeter of rectangle FGHJ, use the formula : perimeter = 2(l+w) = 2(20+40) = 2 * 60 = ... in

  6. RadEn
    • 3 years ago
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    yes, that's right sorry, the unit for area must be in squared not in :)

  7. help123please.
    • 3 years ago
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    ok, thank u! so, how should I state my answer?

  8. help123please.
    • 3 years ago
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    You can call me '123', by the way.

  9. RadEn
    • 3 years ago
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    oppss.. my eyes still want to bed, @123 :) area = 20 * 40 = 80 in^2 not 60 (sorry) perimeter = 2(20+40) = 2(60) = 120 in

  10. help123please.
    • 3 years ago
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    lol. :D

  11. RadEn
    • 3 years ago
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    opss.. 20 * 40 = 800 not 80 my stupid --"

  12. help123please.
    • 3 years ago
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    nope. so, what should i write for number 1?

  13. RadEn
    • 3 years ago
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    800 in^2

  14. help123please.
    • 3 years ago
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    oK. But 1 is asking how the area was affected by the dilation.

  15. help123please.
    • 3 years ago
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    @AriPotta

  16. RadEn
    • 3 years ago
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    it can be : area = 16 times of the area of before do dilated

  17. help123please.
    • 3 years ago
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    Oh,ok. Let me write that down .

  18. help123please.
    • 3 years ago
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    or '16 times the original area'?

  19. RadEn
    • 3 years ago
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    yes

  20. AriPotta
    • 3 years ago
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    4^2

  21. help123please.
    • 3 years ago
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    Ok, thx

  22. AriPotta
    • 3 years ago
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    i told you that trick before, enchilada

  23. help123please.
    • 3 years ago
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    I'm forgetful. SORRY. HAHHAHAHAHA

  24. AriPotta
    • 3 years ago
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    for area, you square the amount of times it changed. like, if the scale factor is 3, 3^2 = 9. so the area would be 9 times greater

  25. help123please.
    • 3 years ago
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    Oh. okay.

  26. AriPotta
    • 3 years ago
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    if you're doing volume, you cube it

  27. help123please.
    • 3 years ago
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    So the answer would be is 16 times larger than before?

  28. AriPotta
    • 3 years ago
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    yea, 16 times the original

  29. help123please.
    • 3 years ago
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    Oh, I GET IT! I THINK. THANKS!

  30. help123please.
    • 3 years ago
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    The perimeter is.

  31. AriPotta
    • 3 years ago
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    the perimeter would be 4 times greater

  32. help123please.
    • 3 years ago
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    |dw:1360977934911:dw|

  33. help123please.
    • 3 years ago
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    Is that a good drawing?

  34. AriPotta
    • 3 years ago
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    x is the scale factor. perimeter: x^1, area: x^2, volume: x^3

  35. help123please.
    • 3 years ago
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    thanks. i get it, volume is cubed, area is squared. so the perimeter is .. um..

  36. AriPotta
    • 3 years ago
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    so since the scale factor is 4... 4^1 = 4. perimeter is 4x the original. is this making sense?

  37. help123please.
    • 3 years ago
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    Ahhhh! I GET IT NOW! WOW. I'M SO SLOW. I APOLOGIZE TO YOU BOTH.

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