Question

Tracy needs the to find the length and width of the equipment storage room where she works. The room is 3 meters longer than it is wide. Its perimeter is 18 meters.
Find the width in meters.

Answer 1

Assume width= x
Therefore since length is 3m more than width,x, what do u think would be the length? (hint: its an expression ie, no equal sign)

Answer 2

2? @kalahkid

Answer 3

No, not quite.. it would be x + 3
Remember since we dont know the exact igure we're letting the width be x

Answer 4

And since the length is 3m longer it means we add 3 to the width x. So, we get x+3

Answer 5

Understand so far @atlantaslast ?

Answer 6

Yeah I understand

Answer 7

okay so what's the formula for perimeter of a rectangle?

Answer 8

p=2(l+w)

Answer 9

2l+2w basically

Answer 10

Good so just substitute what we got for length and width

Answer 11

So what would it be? Keep in mind they gave you the perimeter 18m

Answer 12

2l+3w=18?

Answer 13

Good but remember l= x+3 and w = x, so put that in

Answer 14

im a bit confused

Answer 15

the length,l, in this case is x+3 and the width,w, is x. They gave us this information plus perimeter 18m and we have to use this to find the width. What's confusing though?

Answer 16

Perimeter,P=18
l = x+3
w=x
Formula to be used : 2l + 2w
---> 2(x+3) + 2(x)=18

Answer 17

I was going to put that equation down but I wasn't entirely sure but now I get it so it would be 2x+6+2x=18, so if we add the like terms it would be 4x+6=18 right?

Answer 18

@kalahkid

Answer 19

Let the width of the room = x m
then the length = (x+3) m
Perimeter of the room = 2(Length+Width)
2(x+3+x) = 18
4x+6 = 18
4x = 18-6 = 12
x = 12/4 = 3
Therefore the width of the room = 3 meters that's the correct width of the room