Question

Tracy needs to find the length and width of the equipment storage room where she works. The room is 1 meter longer than it is wide. Its perimeter is 14 meters.

Find the width in meters

Answer 1

let the width = x meter
then lenght = x+1meter

then parameter is

x +(x+1)+x+(x+1) = 14

now solve for x

Answer 2

4x + 2? Dunno how to do this, I'm horrible in Algebra lol!

Answer 3

actually the room in the shape of rectangle

the parameter of a rectangle is sum of the length of all its sides

as here the width is x and length is x+1

now the rectangle has four sides

thus parameter is = x+x+(x+1)+(x+1) = 4x+2

Answer 4

Ok so I was right about the 4x + 2 thing?

Answer 5

The perimeter of a rectangle is : P = 2L + 2W
P = 14
L = W + 1
Now sub your stuff into the formula

Answer 6

14 = 2(W + 1) + 2W
14 = 2W + 2 + 2W
can you take it from here and solve for W

Answer 7

Well, do you combine like terms? If not, then no. I know this involves dividing one side by something else to get W by it's self, correct?

Answer 8

combine like terms

Answer 9

@Skiller8860
You are correct. The left side of the equation becomes
4x + 2
That means the equation now is 4x + 2 = 14

Now you need to solve the two-step equation
4x + 2 = 14
First, subtract 2 from both sides to get 4x by itself on the left side.
Then divide both sides by 4 to find x.

Answer 10

3 + 3W when combining like terms, correct? Or do you do this,

2 * W = 2W 2 * 1 = 2 Therefore it equals, 2W + 2 + 2W

So that means 4W + 2 correct @texaschic101

Answer 11

Which one is correct, first method or last and @mathstudent55 X = 3 then?

Answer 12

yes...14 = 4W + 2 -- subtract 2 from both sides
14 - 2 = 4W
12 = 4W -- divide by 4
12/4 = W
3 = W -- width is 3

L = W + 1
L = 3 + 1
L = 4 -- length is 4

Mathstudent...what did I do wrong here...because when I check it back into the formula, it does not equal 14

Answer 13

oh...wait a sec
P = 2L + 2W
14 = 2(4) + 2(3)
14 = 8 + 6
14 = 14 (correct)

nvm mathstudent......I just messed up in the checking....it checks out correct
L = 4 and W = 3

Answer 14

So the answer is 3? =]

Answer 15

yes...W = 3 meters

Answer 16

Thank you so much!!!!!!!! =]

Answer 17

do you have any questions Skiller ?

Answer 18

glad to help :)

Answer 19

Nope, thanks :D. Wrote you a testimonial haha =].