SOLUTION: Please help me. Solve the problem: A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 696 feet of fencing is

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Please help me. Solve the problem: A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 696 feet of fencing is      Log On


   



Question 134979: Please help me.
Solve the problem:
A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 696 feet of fencing is used. Find the maximum area of the playground.
I can not figure this out

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 696 feet of fencing is used. Find the maximum area of the playground.
-------------------------
Important: Draw the figure so you can follow this solution.
-----------------------------
There are 2 length lines and 3 width lines
2L + 3W = 696 ft
L = (-3/2)W+ 348
---------------------
Area = LW
Area = W[(-3/2)W+348]
Area = (-3/2)W^2 + 348W
--------------------------
Comment: This is a quadratic with a = -3/2 and b = 348
---------------------------
Maximum area occurs at w = -b/2a = -348)/(-3) = 116
The maximum area is (-3/2)(116)^2+348(116) = 20184 sq. ft.
============================================================
Cheers,
Stan H.