SOLUTION: The length of a rectangular room is 3m more than 2 times its width. If the perimeter is 30 m, how wide is the room? Please help, i got really stuck on it.

Algebra ->  Rectangles -> SOLUTION: The length of a rectangular room is 3m more than 2 times its width. If the perimeter is 30 m, how wide is the room? Please help, i got really stuck on it.      Log On


   

Question 895757: The length of a rectangular room is 3m more than 2 times its width. If the perimeter is 30 m, how wide is the room?
Please help, i got really stuck on it.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
w and L for width and length.

Formula for perimeter, using p for perimeter:
p=2w%2B2L

The problem description gives L=3%2B2w.

You are given p=30; and the question means, find the value for w.

2w%2B2L=30
2w%2B2%283%2B2w%29=30
w%2B3%2Bw=15
2w%2B3=15
2w=15-3=12
highlight%28w=6%29
-
Use the given information given and formulated for L.
L=3%2B2%2A6
highlight%28L=15%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
The length of a rectangular room is 3m more than 2 times its width. If the perimeter is 30 m, how wide is the room?
Please help, i got really stuck on it.


Let width be W

Then length, or L = 2W + 3 ----- eq (i)

Since 2(W + L) = perimeter, then: 2(W + L) = 30____2(W + L) = 2(15)_____W + L = 15 ------- eq (ii)

W + 2W + 3 = 15 ------- Substituting 2W + 3 for L in eq (ii)

3W + 3 = 15

3W = 12

W, or width = 12%2F3, or highlight_green%28highlight_green%284%29%29 m

You can do the check!! 



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