help123please.
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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RadEn
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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
help123please.
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Thanks; let me read your reply.
help123please.
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It might take a few mins,ok?
help123please.
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60 in,yes?
RadEn
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for perimeter of rectangle FGHJ, use the formula :
perimeter = 2(l+w) = 2(20+40) = 2 * 60 = ... in
RadEn
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yes, that's right
sorry, the unit for area must be in squared not in :)
help123please.
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ok, thank u! so, how should I state my answer?
help123please.
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You can call me '123', by the way.
RadEn
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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
help123please.
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lol. :D
RadEn
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opss.. 20 * 40 = 800 not 80
my stupid --"
help123please.
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nope. so, what should i write for number 1?
RadEn
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800 in^2
help123please.
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oK. But 1 is asking how the area was affected by the dilation.
help123please.
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@AriPotta
RadEn
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it can be :
area = 16 times of the area of before do dilated
help123please.
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Oh,ok. Let me write that down .
help123please.
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or '16 times the original area'?
RadEn
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yes
AriPotta
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4^2
help123please.
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Ok, thx
AriPotta
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i told you that trick before, enchilada
help123please.
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I'm forgetful. SORRY. HAHHAHAHAHA
AriPotta
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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
help123please.
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Oh. okay.
AriPotta
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if you're doing volume, you cube it
help123please.
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So the answer would be is 16 times larger than before?
AriPotta
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yea, 16 times the original
help123please.
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Oh, I GET IT! I THINK. THANKS!
help123please.
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The perimeter is.
AriPotta
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the perimeter would be 4 times greater
help123please.
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|dw:1360977934911:dw|
help123please.
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Is that a good drawing?
AriPotta
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x is the scale factor.
perimeter: x^1, area: x^2, volume: x^3
help123please.
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thanks. i get it, volume is cubed, area is squared. so the perimeter is .. um..
AriPotta
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so since the scale factor is 4...
4^1 = 4. perimeter is 4x the original. is this making sense?
help123please.
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Ahhhh! I GET IT NOW! WOW. I'M SO SLOW. I APOLOGIZE TO YOU BOTH.