SOLUTION: Suppose that a rectangle has a perimeter of 26 meters. Express the area A(x) of the rectangle in terms of the length x of one of its sides. A(x) =

Algebra ->  Rectangles -> SOLUTION: Suppose that a rectangle has a perimeter of 26 meters. Express the area A(x) of the rectangle in terms of the length x of one of its sides. A(x) =      Log On


   



Question 262531: Suppose that a rectangle has a perimeter of 26 meters. Express the area A(x) of the rectangle in terms of the length x of one of its sides. A(x) =
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Perimeter can be expressed as
P+=+2W+%2B+2L
in our case we can say
26+=+2L+%2B+2W
or divide by 2 to get
13+=+L+%2B+W
and solving for L, we get
L+=+13-W
----
A = LW
so by substitution, we get
A = (13-W)W
let W = x, then
A%28x%29+=+x%2813-x%29