SOLUTION: A rectangle lawn is 14 meters long and 10 meters wide. A strip of uniform width is mowed around the outside of the lawn. How wide is the strip when the area of the unmowed portion

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A rectangle lawn is 14 meters long and 10 meters wide. A strip of uniform width is mowed around the outside of the lawn. How wide is the strip when the area of the unmowed portion       Log On


   

Question 810398: A rectangle lawn is 14 meters long and 10 meters wide. A strip of uniform width is mowed around the outside of the lawn. How wide is the strip when the area of the unmowed portion of the lawn is 12 meters squared
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
14*10=140
140-12=128
The un-mowed portion is very small. Are you sure you don't mean the mowed portion?
Or are your numbers wrong?
(14-x)*(10-x)=128
x^2-24x+140 = 128
x^2-24x+12 = 0
x = 0.51087 meters width of strip
14-0.51087=13.48913
10-0.51087=9.48913