Question

The length of a rectangle is 2 more than 3 times the width. If the perimeter is 100 meters, what is the width of the rectangle?

answer list
13 meters
12 meters
11 meters

Answer 1

First step to an algebraic word problem?
Represent the values :D
If we let
x = width of the rectangle

What's the length?

Answer 2

2+3x

Answer 3

That's right :)
The formula for the perimeter of a rectangle?
P = ?

Answer 4

s+s+s+s=p

Answer 5

that's for a square :)
The formula for the perimeter of a rectangle is
2L + 2W = P
Now all you have to do is replace L, W, and P with the necessary values, and you're all set :)

Answer 6

but how do i find the values

Answer 7

I'll give you a hint:
Your width (W) is x, right? so replace W with x:
2L + 2x = P

Now you do L and P :)

Answer 8

2(2+3x)+2x=100
4+6x+2x=100
8x+4=100
8x=96
x=12

Answer 9

haha i had it right the first time

Answer 10

You nailed it :D
We were only looking for the width, right? so you got it:)

What if we were looking for the length?

Answer 11

i dont know how to that part

Answer 12

You know your length is *two more than three times the width*, right?
You already know your width, so...? :)

Answer 13

u get rid of of width

Answer 14

What do you mean by that?

Answer 15

no divid width by 3 then times by 5 wat was i thinking

Answer 16

Ok, I'll be blunt this time around ;)
x is our width
our length is
2 + 3x

and recently, we found x = 12 ..., so our length, which is (2 + 3x) must be...?
(Hint: Substitute 12 for x)

:D

Answer 17

(2+3x)=38

Answer 18

That's right :)
Nicely done. A bit more practice and you should be breezing through these algebraic word problems :)

Answer 19

i hope an thx alot again

Answer 20

No problem, and keep it up :)

Answer 21

ok i will