SOLUTION: a rectangular room is 3 meters longer than it is wide, and its perimeter is 30 meters.Find the dimensions of the room

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: a rectangular room is 3 meters longer than it is wide, and its perimeter is 30 meters.Find the dimensions of the room      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 658697: a rectangular room is 3 meters longer than it is wide, and its perimeter is 30 meters.Find the dimensions of the room
Answer by colliefan(242) About Me  (Show Source):
You can put this solution on YOUR website!
If we call the width w, then the length is w+3. We know that the perimeter is the sum of all 4 sides, that is two widths and two heights. That give the following equation:
2w+2(w+3)=30
Then solve for w. Remember, what you do to one side, you must do to the other so it continues to have equal sides of the equation.
2w+2w+6=30
4w+6=30
4w+6-6=30-6
4w+0=24
4w=24
1/4*4w=24*1/4
1*w=6
w=6
If the width=6 meters, the length must be w+3 or 9 meters. Check to see if the perimeter is 30 meters.