Question

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?

Answer 1

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

Answer 2

Thanks; let me read your reply.

Answer 3

It might take a few mins,ok?

Answer 4

60 in,yes?

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

lol. :D

Answer 11

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

Answer 12

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

Answer 13

800 in^2

Answer 14

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

Answer 15

@AriPotta

Answer 16

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

Answer 17

Oh,ok. Let me write that down .

Answer 18

or '16 times the original area'?

Answer 19

yes

Answer 20

4^2

Answer 21

Ok, thx

Answer 22

i told you that trick before, enchilada

Answer 23

I'm forgetful. SORRY. HAHHAHAHAHA

Answer 24

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

Answer 25

Oh. okay.

Answer 26

if you're doing volume, you cube it

Answer 27

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

Answer 28

yea, 16 times the original

Answer 29

Oh, I GET IT! I THINK. THANKS!

Answer 30

The perimeter is.

Answer 31

the perimeter would be 4 times greater

Answer 32

Is that a good drawing?

Answer 33

x is the scale factor.

perimeter: x^1, area: x^2, volume: x^3

Answer 34

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