SOLUTION: "If eighteen meters of fencing are required to enclose a rectangular garden, what is the area of the garden as a function of the length of one side?" How would I acheive the answe

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: "If eighteen meters of fencing are required to enclose a rectangular garden, what is the area of the garden as a function of the length of one side?" How would I acheive the answe      Log On


   

Question 399789: "If eighteen meters of fencing are required to enclose a rectangular garden, what is the area of the garden as a function of the length of one side?"
How would I acheive the answer +A=-x%5E2%2B9x+?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

you can express the area of a rectangle as a function of the length x of one side like:
A=xy+

Your perimeter is P=18, so 18=2x%2B2y...you can divide both sides by 2

9=x%2By....solve for y

y+=+9+-+x...plug it in +A=xy


+A=xy+=+x%289+-+x%29+


+A=+9x+-+x%5E2+...or +A=+-x%5E2+%2B+9x++