Question

the length of the rectangle is 3m less than 5 times the width. the area of the rectangle is 36m^2. find the dimensions of the rectangle.

Answer 1

Okay let's come up with some variables.
\(w\) is width, \(l\) is length.

"the length of the rectangle is 3m less than 5 times the width"
Create an equation from this!!!

"the area of the rectangle is 36m^2."
Ooooh, it's another equation. Make it!

Answer 2

5w-3+w=36m^2

Answer 3

Well, that's a good start... but do you add length and width or do you multiply them?

Answer 4

to get the area.

Answer 5

multiply

Answer 6

Okay, then your equation should have multiplication.

Answer 7

were?

Answer 8

Hold on though... I think we're getting ahead of ourselves.

First of all, what is the equation for this statement:
""the length of the rectangle is 3m less than 5 times the width"

Answer 9

ya

Answer 10

???
Using \(l\) and \(w\) what is the equation?

Answer 11

what?

Answer 12

"the length of the rectangle is 3m less than 5 times the width"
write this in algebra

Answer 13

yes i know that was in my equation

Answer 14

I know, but I just want to be on the same page here.

Answer 15

When you do so many steps at once you make mistakes.

Answer 16

There are two equations, but you only had one equation and it had a mistake.

Answer 17

Which is why I just want to do thinks with simple steps first.

Answer 18

`the length of the rectangle is 3m less than 5 times the width`\[
l = 5w-3
\]
`the area of the rectangle is 36m^2`\[
lw = 36
\]

Answer 19

Now when you do the substitution you get \[
(5w-3)(w)=36
\]

Answer 20

ya i know

Answer 21

If you know, then show me =)

Answer 22

I cannot read minds unfortunately.

Answer 23

oomg.............

Answer 24

What?

Answer 25

this is taking way to long! all i needd is a equation then i can solve it but you just brought me where i started and needed help!!!!!!!

Answer 26

No you had \[
5w-3+w=36m^2
\]and it was wrong.

Answer 27

You're not asking any questions either.

Answer 28

I'm not going to do it for you. Sometimes I do most of it for a person, sometimes not. You didn't win that lottery.

Answer 29

i really dont care anymore its eleven a clock and now i am pissy

Answer 30

\[
(5w-3)(w)=5w^2-3w=36
\]You know how to solve quadratic equation?

Answer 31

ya but this one doesnt had up

Answer 32

Doesn't had up? \[
5w^2-3w-36 = 0
\]Who needs up?\[
a=5,b=-3,c=-36
\]

Answer 33

its 12 and 3

Answer 34

http://www.wolframalpha.com/input/?i=5w%5E2%E2%88%923w%E2%88%9236%3D0
I'm getting \[
w=3, w=-\frac{12}{5}
\]Do you think width is negative?

Answer 35

flutter me i hate life i am tired i need to eat

Answer 36

i really dont know anymore

Answer 37

Sorry, width is only positive. That means \(w=3\).

Answer 38

\[
l = 5w-3= 5(3)-3
\]

Answer 39

i reealyy hate life so bye :......(

Answer 40

http://www.youtube.com/watch?v=ZQ7oqmikZDQ