SOLUTION: A farmer has a rectangular garden plot surrounded by 446 feet of fencing. Find the dimensions of the garden if its area is 12360 square feet. Value of the longest side: Val

Algebra ->  Rectangles -> SOLUTION: A farmer has a rectangular garden plot surrounded by 446 feet of fencing. Find the dimensions of the garden if its area is 12360 square feet. Value of the longest side: Val      Log On


   

Question 1169959: A farmer has a rectangular garden plot surrounded by
446 feet of fencing. Find the dimensions of the garden if its area is
12360 square feet.
Value of the longest side:
Value of the shortest side:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
half-perimeter is L+W=223
L=223-W
area is W(223-W)=12360=223W-W^2
so W^2-223W+12360=0
W=(1/2)(223+/- sqrt(223^2-49440); sqrt term=17
W=120 and 103
120 feet is longest side
103 feet is shortest side