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?

- anonymous

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- schrodinger

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- RadEn

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

- anonymous

Thanks; let me read your reply.

- anonymous

It might take a few mins,ok?

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## More answers

- anonymous

60 in,yes?

- RadEn

for perimeter of rectangle FGHJ, use the formula :
perimeter = 2(l+w) = 2(20+40) = 2 * 60 = ... in

- RadEn

yes, that's right
sorry, the unit for area must be in squared not in :)

- anonymous

ok, thank u! so, how should I state my answer?

- anonymous

You can call me '123', by the way.

- RadEn

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

- anonymous

lol. :D

- RadEn

opss.. 20 * 40 = 800 not 80
my stupid --"

- anonymous

nope. so, what should i write for number 1?

- RadEn

800 in^2

- anonymous

oK. But 1 is asking how the area was affected by the dilation.

- anonymous

@AriPotta

- RadEn

it can be :
area = 16 times of the area of before do dilated

- anonymous

Oh,ok. Let me write that down .

- anonymous

or '16 times the original area'?

- RadEn

yes

- AriPotta

4^2

- anonymous

Ok, thx

- AriPotta

i told you that trick before, enchilada

- anonymous

I'm forgetful. SORRY. HAHHAHAHAHA

- AriPotta

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

- anonymous

Oh. okay.

- AriPotta

if you're doing volume, you cube it

- anonymous

So the answer would be is 16 times larger than before?

- AriPotta

yea, 16 times the original

- anonymous

Oh, I GET IT! I THINK. THANKS!

- anonymous

The perimeter is.

- AriPotta

the perimeter would be 4 times greater

- anonymous

|dw:1360977934911:dw|

- anonymous

Is that a good drawing?

- AriPotta

x is the scale factor.
perimeter: x^1, area: x^2, volume: x^3

- anonymous

thanks. i get it, volume is cubed, area is squared. so the perimeter is .. um..

- AriPotta

so since the scale factor is 4...
4^1 = 4. perimeter is 4x the original. is this making sense?

- anonymous

Ahhhh! I GET IT NOW! WOW. I'M SO SLOW. I APOLOGIZE TO YOU BOTH.

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