anonymous
  • anonymous
The area of a rectangle is 54ft^2 and the length of the rectangle is 3ft more than twice the width. find the dimensions of the angle. Length:? Width:?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@10115658
anonymous
  • anonymous
sorry man i can't help you on this one
anonymous
  • anonymous
aww really?

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anonymous
  • anonymous
Do you have any idea how to set it up?
anonymous
  • anonymous
I honestly have no idea lol, that is why I tagged you in it, I've never done this equation before.
anonymous
  • anonymous
maybe factor it
anonymous
  • anonymous
I'm not sure lol
anonymous
  • anonymous
give me a sec
anonymous
  • anonymous
ok i figured it out
anonymous
  • anonymous
so set up an equation for this problem
anonymous
  • anonymous
How would I start that
anonymous
  • anonymous
ok lets use w to represent the unknown
anonymous
  • anonymous
so how do you find the length of a rectangle
anonymous
  • anonymous
L=P/2 * W?
anonymous
  • anonymous
sorry i meant to write area. How do you find the area of a rectangle
anonymous
  • anonymous
A=wl
anonymous
  • anonymous
correct
anonymous
  • anonymous
so we called the width w. the question says the length is 3 feet more than twice the width. what would you have to do to W to get that?
anonymous
  • anonymous
put it into a expression maybe?
anonymous
  • anonymous
like a algebraic expression
anonymous
  • anonymous
ya
anonymous
  • anonymous
so...3xn?
anonymous
  • anonymous
something around there
anonymous
  • anonymous
so it says the length is twice the width
anonymous
  • anonymous
we called width w. so we have 2w
anonymous
  • anonymous
it also says that it's 3 feet more than that. what would you add to 2w to represent that?
anonymous
  • anonymous
2w + ?
anonymous
  • anonymous
2w+3?
anonymous
  • anonymous
correct.
anonymous
  • anonymous
2w+3=54ft^2?
anonymous
  • anonymous
So that represents our length. What are you missing from that equation?
anonymous
  • anonymous
remember area= L x W
anonymous
  • anonymous
we're missing the width right?
anonymous
  • anonymous
correct, what does the equation look like?
anonymous
  • anonymous
is it going to be the same as the length? the 2w?
anonymous
  • anonymous
I'm not sure :l im very slow haha, I hate math
anonymous
  • anonymous
so we started by saying that w is the width
anonymous
  • anonymous
we multiplied that by 2 and added 3 to represent the length
anonymous
  • anonymous
I was going to say we are going to plug in w but there is nothing to plug in.
anonymous
  • anonymous
54 = (2w+3)w
anonymous
  • anonymous
I solve that right?
anonymous
  • anonymous
ya, do you understand how i got that equation though?
anonymous
  • anonymous
I got 54=5, and yes I understand now how you got the equation
anonymous
  • anonymous
or 54/5
anonymous
  • anonymous
nope
anonymous
  • anonymous
I can't really solve it then? because you add like terms right so 2+3 is 5 and then the 54 is just there.
anonymous
  • anonymous
multiply this out (2w+3)w
anonymous
  • anonymous
6w
anonymous
  • anonymous
6w^2
anonymous
  • anonymous
nope, do you remember how to expand?
anonymous
  • anonymous
Nope
anonymous
  • anonymous
|dw:1433022042596:dw|
anonymous
  • anonymous
what's w times 2w?
anonymous
  • anonymous
3w^2?
anonymous
  • anonymous
or 2w^2
anonymous
  • anonymous
the only reason why I say that is because sometimes the w could be used as a 1 but I could be wrong
anonymous
  • anonymous
it's 2w^2
anonymous
  • anonymous
|dw:1433022177245:dw|
anonymous
  • anonymous
now what's w times 3?
anonymous
  • anonymous
3w
anonymous
  • anonymous
correct, so we have 2w^2 + 3w = 54
anonymous
  • anonymous
it looks like we have to factor this
anonymous
  • anonymous
so move everything to one side of the equation
anonymous
  • anonymous
Is it -6, an 9/2?
anonymous
  • anonymous
right so is the width -6 or 9/2?
anonymous
  • anonymous
-6?
anonymous
  • anonymous
is it possible to have a negative width?
anonymous
  • anonymous
nope
anonymous
  • anonymous
So what is it?
anonymous
  • anonymous
6?
anonymous
  • anonymous
nope
anonymous
  • anonymous
9/2?
anonymous
  • anonymous
what was the other value you got
anonymous
  • anonymous
9/2 is correct
anonymous
  • anonymous
so the width is 9/2 and the length is -6?
anonymous
  • anonymous
It says that the length is twice the width plus 3 more
anonymous
  • anonymous
so what should the length be?
anonymous
  • anonymous
12?
anonymous
  • anonymous
ok, what's 9/2 times 12?
anonymous
  • anonymous
54
anonymous
  • anonymous
good job
anonymous
  • anonymous
Thank you very much I appreciate you taking the time to work with me.
anonymous
  • anonymous
no problem

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