SOLUTION: Susan is going to fence a rectangular flower garden in her back yard. She has 50 ft of fencing and she plans to use the house as the fence on one side of the garden. If the area is

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Susan is going to fence a rectangular flower garden in her back yard. She has 50 ft of fencing and she plans to use the house as the fence on one side of the garden. If the area is      Log On


   

Question 341713: Susan is going to fence a rectangular flower garden in her back yard. She has 50 ft of fencing and she plans to use the house as the fence on one side of the garden. If the area is 300 square feet, what are the dimensions of the flower garden?
Give a heading, equation and solution.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
2X+Y=50 OR Y=50-2X
XY=300
X(50-2X)=300
50X-2X^2=300
2X^2-50X+300=0
2(X^2-25X+150)=0
2(X-15)(X-10)=0
X-15=0
X=15 Y=50-2*15=50-30=20 ANS.
X-10=0
X=10 Y=50-2*10=50-20=30 ANS.
PROOF:
15*20=300
300=300
10*30=300
300=300