Question

Find the values of x and y when the similar rectangle show here has the area given. area of smaller rectangle: 20ft squared. Sides of larger rectangle 8ft and 20ft

Answer 1

Alright, draw both rectangles next to each other and write down the given for both ^_^:

We have the following given for the big rectangle which is:
L = 20 ft
W = 20 ft

and the general formula for the area of a rectangle is :

\[A = lw = (20)(8) = 160 ft^2\]

is it clear now? ^_^

Answer 2

do you want x and y = sides of the smaler rectangle?

Answer 3

yes

Answer 4

smaller*

Answer 5

yes

Answer 6

Starica my life saver yes i want the sides of the smaller rectangle

Answer 7

Hmm, okay, I think I have found a relationship between the 2 rectangles, I hope this helps.

A1 = xy
A2 = Lw

Since both rectangles are similar then they are proportional , so yu'll have the following relationship:

\[A2/A1 = lw/xy = 160/20 = 8\]

so :

A2 = 8(A1)

does this help? :)

Answer 8

I dont get what your saying. I have to fine what x and y equals. it has to do witch similar figures

Answer 9

lol, I have showed you the relationship between both rectangles.

I'm not sure how to solve it, but I have given you a relationship, can you figure that out from here?

Answer 10

To find the sides, you have to know the proportionality of the sides and areas

Answer 11

here what my problems looks like

Answer 12

Like I have said, since they are similiar then the sides are proportional so you'll have :\[x/y = 8/20\]
cross multiply and solve for x or y, I'll solve for x first and you'll get :

8x = 20y
x = (20/8 )y
x = (5/2)y

plug this x in the area of the smaller rectangle:

A1 = xy
20 =[ (5/2)y ] y


\[20 = (5/2)y^2\]
\[y = \sqrt{40/5}=\sqrt{8}= 2\sqrt{2} ft\]

now plug this y in the equation we have found which is :

\[x = (8/20) y =(8/20)(2\sqrt{2}) = (4\sqrt{2})/5 ft\]

Correct me if I'm wrong please ^_^

Answer 13

I guess I'm wrong since it's not equal to 20 ft^2 :(

Answer 14

yes

gosh i hate geometry

Answer 15

lol, don't say that, give it a one more try, I'll try again :)

Answer 16

if you cant im just not going to do it
i get a50 or something

Answer 17

angoo can you help out a bit please? :)

Answer 18

Lol, I didn't say I can't, I still didn't stop thinkin, I'm going to give it a one more try

Answer 19

okay, thank you

Answer 20

np :)

Answer 21

hmm... both rectangles are supposed to be simmilar, right? so the ratio of their width to lenght is the same

Answer 22

yes

Answer 23

ok, so the first rectangle is 20ftsq = x * z
the second is 160ftsq = 8 * 20
so...

Answer 24

160/20 = x/8 * z/20

Answer 25

so what does x and y equal of the smaller square

Answer 26

How is geometry going to help me in my life anyways

Answer 27

so, we have to find the ratio first, which is, 160/20=8

Answer 28

life is geometry martin, everything around us is made up of geometric measurements ^_^

Answer 29

which means that x of the smaller triangle is 8 times smaller than x of the big triangle, and same goes for z

Answer 30

so..

Answer 31

x = 8/8 = 1ft
z = 20/8 = 2.5ft

Answer 32

am i wrong mimi?

Answer 33

hmm, still not equal to 20 ft^2 angoo, but you were close though!

Answer 34

excellent :)

Answer 35

WHAT???

Answer 36

im confused

Answer 37

You got the ratio idea right

Answer 38

oh, i see now :D

Answer 39

martin the area of the smaller rectangle is :

A = xy

and the area is given which is = 20 ft^2

so (x)(y) must be equal = 20.

Answer 40

yes i know

Answer 41

And you must know the ratio between both rectangles since both are similar :) which is 8 just like andy has said. Did you get that part?

Answer 42

so x = 4 and y = 5

Answer 43

exactly! :)

Answer 44

since:

A2 = 8 A1 then

A1 = A2/8

just like what you have done! excellent ^_^

Answer 45

i am SOOOOO bad at maths :( *crying out loud desperatelly and emmotionally*

Answer 46

LOL! angoo, you were close ^_^, but martin that doesn't give 20 ft^2 either. X is correct, but what about y?

Answer 47

LOL :D, just kidding, but my exams to university are approaching, in ONE week

Answer 48

well thank you guys i really appreciate what you guys have really helped me. I hate high school math and my teacher who cant even teach

Answer 49

work hard and good luck!

Answer 50

np :), but did you get the idea martin?

Answer 51

yes. I hope i get it right its really late and i have a to study for world history and do this homework

Answer 52

the problem is, I have no idea what to study... there are hundreds of topics :( well, not a big deal anyway, if I fail, I will just join the military...

Answer 53

study the history then wake up early in the morning when your brain is fresh and you'll figure what (y) is ^_^

Answer 54

on i cant im not a morning person

Answer 55

don't say that andy, you must have high hopes and ambitions.

Answer 56

i have to wake up in 3 hours

Answer 57

damn it, I would really love to have your optimism

Answer 58

well you've got to, it has been proven scientifically that the brain mostly absorbs between 4 am - 7 am :) try to wake up during these times :)

Answer 59

you're a great computer -user, you can do anything!

Answer 60

just have faith in yourself :)

Answer 61

and trust your abilities ^_^

Answer 62

highschool math must of been a breeze for you guys

Answer 63

well, I could start OpenStudy2, or even FaceBook 2 for that matter :D

Answer 64

well, I got an A in my final maths exam in high, but forgot half of everything now, just half a year after finishing

Answer 65

you have no idea martin, I wasn't even that good in math during high school, but I worked hard in my last 2 senior years and have aced the subject ^_^ . I didn't do good because I didn't get it, but when you fully start to understand mathematics, every mathematical problem will seem simple and clear to you :)

Answer 66

well i hope college isnt this bad, i hope the teachers actually teach

Answer 67

Don't say that andy, it's there sometwhere in your head but you've got to refresh you mind that's all ^_^, nothing can be forgotton, everything is stored up in the unconscious :)

Answer 68

they do martin, but try not to outsmart them, they don't like it :)

Answer 69

well good, cause my teacher cant teach to save her life she ignores our questions

Answer 70

especially you andy, with your great computer skills, they'll consider you as a threat, just do your work and keep quite ^_^

Answer 71

I don't trust a WORD that business subject teachers are teaching me

Answer 72

lol, in school, you can control the teacher :) but in college you can't

Answer 73

I want to major in some type of computer thing

Answer 74

AWESOME! :) what are you most into to?

Answer 75

into*

Answer 76

because, if they are so good in business, how come they are still teaching and not living in a private island?

Answer 77

I love ....... :)

Answer 78

lol, that's the first step in getting a job andy

Answer 79

im really good at computers like i like to learn about technology and things of that nature

Answer 80

you love? what? programming ! we know lol

Answer 81

not exactly.....

Answer 82

computers and stuff?

Answer 83

I love something that most people dont understand and think that it is bad and stupid...

Answer 84

you will martin, set that as your goal and you'll reach it and you'll never fall on your knees in times of hardships, you'll fall standing because you have a dream :)!

Answer 85

what is it andy? :)

Answer 86

Be yourself because you were born this way

Answer 87

I am afraid you will condemn me if I tell you

Answer 88

exactly :)

Answer 89

haha (gaga)

Answer 90

oh come on, you know me, what is it? ^_^

Answer 91

who cares we are who we are

Answer 92

I never judge ppl , I accept them as they are :)

Answer 93

yes

Answer 94

^_^

Answer 95

ok, well one of my passions is Hacking

Answer 96

I dont like highschool because people pick on you for the dumbest things

Answer 97

that's great :)