A rectangular room is three times as long as it is wide, and its perimeter is 48 meters. Find the width of the room.

- anonymous

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- anonymous

@nincompoop

- Astrophysics

Ok so reading it carefully, `rectangular room is three times as long as it is wide` that means length = 3 width, right?

- Astrophysics

\[l = 3w\]

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## More answers

- Astrophysics

|dw:1434595931914:dw|

- 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

Now we can solve for the width, can you do that?

- Astrophysics

What do you get when you add up w+3w+w+3w?

- anonymous

12

- Astrophysics

What?

- Astrophysics

\[w+3w+w+3w \implies 8w\] right?

- Astrophysics

So we have \[8w = 48\] solve for w now.

- anonymous

ahhh i saw my mistake, w=6

- Astrophysics

Yes :) and now lets check if this is right.

- 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

yay!

- anonymous

can you help me with one more?

- Astrophysics

Sure :)

- anonymous

##### 1 Attachment

- 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

|dw:1434596965637:dw|

- Astrophysics

So can you please solve for y?

- anonymous

-6y=-25

- Astrophysics

What happened to your 5x?

- Astrophysics

|dw:1434597209906:dw|

- Astrophysics

|dw:1434597326967:dw|

- Astrophysics

What will the slope be in \[y = 5/6 x + 19/6\]

- anonymous

ok give me a sec

- Astrophysics

Np just compare it with the equation of line I gave above :)

- anonymous

ok im lost

- Astrophysics

Well solving for y we get |dw:1434597701922:dw|

- anonymous

ok slope is 5/6 and 19/6 y intercept

- anonymous

thanks

- Astrophysics

Yes :), and np

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