SOLUTION: Michelle has 18m of fencing to make a rectangular enclosure for her dog. Use variables A for area and W for width to write an algebraic model that represents the relation

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Michelle has 18m of fencing to make a rectangular enclosure for her dog. Use variables A for area and W for width to write an algebraic model that represents the relation      Log On


   

Question 1105764: Michelle has 18m of fencing to make a rectangular enclosure for her dog.
Use variables A for area and W for width to write an algebraic model that represents the relation
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
If W is width, the length of the rectangular region is in variable L in equation 2W%2B2L=18, and area is A=WL.


From the perimeter,
W%2BL=9
L=9-W


Substituting into A equation,
A=W%289-W%29


system%28A=W%289-W%29%2Cor%2CA=-W%5E2%2B9W%29