Question

The perimter of the rectangle is thirty feet. The length is three feet longer than the width. Find the demensions. Write a system of linear equations and solve the resulting system. Let x be the length and y be the width.

What is length?
What is width?

Answer 1

Okay so lets draw a picture, pictures always help in questions like this. So tell me what perimeter is..

Answer 2

i have 2(x+y)=thirty
x= y+three
2(y+three+y)=thirty
2y+three=27

Answer 3

i think its 2 by 25

Answer 4

I got a different answer, so this is what I did:


So y=x+3 and
2(y+x)=30 (the perimeter)

We can substitute y=x+3 into the second equation so it will be

2y+2x=30

so 2(x+3)+2x=30

which is 2x+6+2x=30

so 4x+6=30
subtract 6

4x=24

divide 24 by 4
x=6

Answer 5

You can then plug x back into the equation to solve for Y

Answer 6

ok so the lentgh is 24
the width is 2

Answer 7

i dont know how i got 25

Answer 8

i think i miss count

Answer 9

How'd you get 2?

Answer 10

for the width is x 2 or well idk

Answer 11

if x is the width and x=6 then 6 is the width

If the length is the width + 3 then
x+3=y (y is the length)
6+3=9
so the width is 6 and the length is 9? confused by that?

Answer 12

ok i seee 4/24 is 6

Answer 13

nope i see my errors but i think i was getting warm lol

Answer 14

and if you add the sides, 6+6+9+9 that equals 30, which is what the question said so you can check that way.

Answer 15

you add the three feet to 6 to get 9

Answer 16

Yup, since the problem said "The length is three feet longer than the width."

Answer 17

ok it says the first equation 2x+2y=?
and second equat x=y+?

Answer 18

so i put thirty and three for the 1st and 2nd equat where the ? marks are at...

Answer 19

2x+2y=thirty
x=y+three

Answer 20

do you see?

Answer 21

It should be y=x+3 if you're doing by my diagram, but you just switched the x's and y's around. if you solve what you just put you should get the same answers

Answer 22

oh ok thats ok it still camee out right

Answer 23

So you know what the width and length are?

Answer 24

6 and 9 right

Answer 25

Yup!

Answer 26

yeeeaaa

Answer 27

you are smart i am trying at last i attempt to try do you havee time for 2 more prob?

Answer 28

Sure! I'm not sure if you should do this but clicking best repose may show others where the answer is encase they're looking at this problem. but Yeah I have time for some more.

Answer 29

ok i didnt know ok the probelm is

Shade the solution set to th system of inequality.
x+three y>-2
2x+ ygreater than = to three

Answer 30

x+3y>-2
\[2x+y \ge 3\]

so those are the two equations, now you need them in slope intercept form or y=mx+b. Okay?

Answer 31

ok so do i gt y by itself

Answer 32

Yup! now do that for both equations

Answer 33

three y=x+-2

Answer 34

okay so 3y=x+-2
Now you can divide both sides by 3 so you're left with y>1/3x+-2/3

For the first quation

Answer 35

do i divide three into -2/three

Answer 36

\[y > 1/3x -2/3\] -2/3 is a fraction so you don't need to divide it out

Answer 37

well 1/three divide by three is = 1

Answer 38

i hat this graphing it makes my head hurt but will keep trying