SOLUTION: Tracy needs to find the length and width of the equipment storage room where she works. The room is 4 meters longer than it is wide. Its perimeter is 24 meters. Find the widt

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Tracy needs to find the length and width of the equipment storage room where she works. The room is 4 meters longer than it is wide. Its perimeter is 24 meters. Find the widt      Log On


   

Question 196211: Tracy needs to find the length and width of the equipment storage room where she works. The room is 4 meters longer than it is wide. Its perimeter is 24 meters.

Find the width in meters.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Let "x" = Width

And, "x+4" =Length ( 4 meters longer than width )

Periemter = P = 24meters

Then,
P=2L%2B2W
24=2%28x%2B4%29%2B2%28x%29
24=2x%2B8%2B2x
24-8=4x
16=4x ----> cross%2816%294%2Fcross%284%29=cross%284%29x%2Fcross%284%29
red%28x=4m%29} Width
And,
x%2B4=4%2B4=red%288m%29}, Length

Check,
P=2L%2B2W
24m=2%288%29%2B2%284%29 ----> 24=16%2B8
24m=24m

Thank you,
Jojo