SOLUTION: A rectangle has a width of 2-x and a length of 4x. What is the maximum area of this rectangle? I tried the quadratic formula and came to x=2 but the area equals to 0 and that's

Algebra ->  Rectangles -> SOLUTION: A rectangle has a width of 2-x and a length of 4x. What is the maximum area of this rectangle? I tried the quadratic formula and came to x=2 but the area equals to 0 and that's       Log On


   

Question 507905: A rectangle has a width of 2-x and a length of 4x. What is the maximum area of this rectangle?
I tried the quadratic formula and came to x=2 but the area equals to 0 and that's not the right answer.
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
Area = Length * Width
.
L = 2-x
.
W = 4*x
.
A = (2-x)(4x)
.
A graph of the area can help you find the maximum.
.
graph%28500%2C500%2C-5%2C5%2C-5%2C5%2C%282-x%29%2A%284%2Ax%29%29