Question

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

Answer 1

@nincompoop

Answer 2

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

Answer 3

\[l = 3w\]

Answer 4

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)

Answer 5

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

Answer 6

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

Answer 7

12

Answer 8

What?

Answer 9

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

Answer 10

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

Answer 11

ahhh i saw my mistake, w=6

Answer 12

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

Answer 13

So if we have w = 6, that means length is 18 right because length = 3 * 6 = 18

and if we add it up \[6+3(6)+6+3(6) = 48 \implies 48 = 48 ~~~ \checkmark \]

Answer 14

yay!

Answer 15

can you help me with one more?

Answer 16

Sure :)

Answer 17

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.