SOLUTION: Please assist The length of a rectangular boat shed must be 4 meters more than the width and the perimeter must be at least 108 meters. What is the range for the values of the

Algebra ->  Algebra  -> Coordinate-system -> SOLUTION: Please assist The length of a rectangular boat shed must be 4 meters more than the width and the perimeter must be at least 108 meters. What is the range for the values of the       Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 182227: Please assist
The length of a rectangular boat shed must be 4 meters more than the width and the perimeter must be at least 108 meters. What is the range for the values of the width.
At most 25 meters
At least 25 meters
Exactly 25 meters.
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Let W = the width, then the length, L = W+4
The perimeter of a rectangle is given by:
P = 2(L+W) and this is to be at least (that's greater than or equal to) 108 meters, so...
2%28L%2BW%29+%3E=+108 Substitute L = W+4
2%28W%2B4%2BW%29+%3E=+108 Simplify.
2%282W%2B4%29+%3E=+108Divide both sides by 2.
2W%2B4+%3E=+54 Subtract 4 from both sides.
2W+%3E=+50 Divide both sides by 2.
W+%3E=+25
The width, W, must be at least 25 meters.