A farmer is building a rectangular garden bed next to a river and has 8 metres worth of fence line to fence it off.
I understand that the equation of this would be:
A = w(8 - 2w)
However, I am unsure what to do next
3 answers
depends on what the question is, no?
oh, I'm sorry!
The question is asking to find the dimensions needed for the maximum area
The question is asking to find the dimensions needed for the maximum area
A = 8w - 2w^2
As you recall, the vertex of a parabola (in this case, the maximum area) is achieved at x = -b/2a
In this case, that's x = -8/-4 = 2
Or, you can note that the roots of A=0 are 0 and 4. The vertex is midway between the roots, at x=2.
As you recall, the vertex of a parabola (in this case, the maximum area) is achieved at x = -b/2a
In this case, that's x = -8/-4 = 2
Or, you can note that the roots of A=0 are 0 and 4. The vertex is midway between the roots, at x=2.
4 answers