SOLUTION: THe perimeter of a rectangle is 210 meters . How do i express the area as a function of the length, and how do I state the domain of the function.
THis is what I have so far
A
Algebra.Com
Question 345735: THe perimeter of a rectangle is 210 meters . How do i express the area as a function of the length, and how do I state the domain of the function.
THis is what I have so far
A=L*W
A=X(105-X) 210/2=105
domain is 0
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Set up the specific perimeter equation for this rectangle:
Solve for 
Substitute this expression for into the area formula creating an expression for Area as a function of length:
\ =\ l(105\ -\ l))
\ =\ 105l\ -\ l^2)
Ordinarily a polynomial function would have the set of all real numbers as a domain, but this is a function that describes a physical object, and if 
or 
, then a physical rectangle no longer exists because you cannot have a 0 or negative area for a real rectangle.
Hence the domain is the interval )
John
My calculator said it, I believe it, that settles it
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