anonymous
  • anonymous
A rectangular room is three times as long as it is wide, and its perimeter is 48 meters. Find the width of the room.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
@nincompoop
Astrophysics
  • Astrophysics
Ok so reading it carefully, `rectangular room is three times as long as it is wide` that means length = 3 width, right?
Astrophysics
  • Astrophysics
\[l = 3w\]

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Astrophysics
  • Astrophysics
|dw:1434595931914:dw|
Astrophysics
  • Astrophysics
So our perimeter is \[w+3w+w+3w = 48\] would you agree, as the perimeter means the total distance of a 2d shape (add all the dimensions on a 2d shape)|dw:1434596025323:dw|
Astrophysics
  • Astrophysics
Now we can solve for the width, can you do that?
Astrophysics
  • Astrophysics
What do you get when you add up w+3w+w+3w?
anonymous
  • anonymous
12
Astrophysics
  • Astrophysics
What?
Astrophysics
  • Astrophysics
\[w+3w+w+3w \implies 8w\] right?
Astrophysics
  • Astrophysics
So we have \[8w = 48\] solve for w now.
anonymous
  • anonymous
ahhh i saw my mistake, w=6
Astrophysics
  • Astrophysics
Yes :) and now lets check if this is right.
Astrophysics
  • Astrophysics
So if we have w = 6, that means length is 18 right because length = 3 * 6 = 18 and if we add it up \[6+3(6)+6+3(6) = 48 \implies 48 = 48 ~~~ \checkmark \]
anonymous
  • anonymous
yay!
anonymous
  • anonymous
can you help me with one more?
Astrophysics
  • Astrophysics
Sure :)
anonymous
  • anonymous
1 Attachment
Astrophysics
  • Astrophysics
Well to find the slope first you want to put it in y = mx+b form (equation of a line) and your m here is the slope.
Astrophysics
  • Astrophysics
|dw:1434596965637:dw|
Astrophysics
  • Astrophysics
So can you please solve for y?
anonymous
  • anonymous
-6y=-25
Astrophysics
  • Astrophysics
What happened to your 5x?
Astrophysics
  • Astrophysics
|dw:1434597209906:dw|
Astrophysics
  • Astrophysics
|dw:1434597326967:dw|
Astrophysics
  • Astrophysics
What will the slope be in \[y = 5/6 x + 19/6\]
anonymous
  • anonymous
ok give me a sec
Astrophysics
  • Astrophysics
Np just compare it with the equation of line I gave above :)
anonymous
  • anonymous
ok im lost
Astrophysics
  • Astrophysics
Well solving for y we get |dw:1434597701922:dw|
anonymous
  • anonymous
ok slope is 5/6 and 19/6 y intercept
anonymous
  • anonymous
thanks
Astrophysics
  • Astrophysics
Yes :), and np

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