Three hundred yards of fencing is being used to fence in a rectangular garden. the area of the garden is modeled by a quadratic function of the rectangle’s width, a(w). what does the second coordinate of the vertex of the quadratic function. a(w), represent

Perimeter = 300

Area = a(w)

Width = w

Perimeter = 300 and width = w ⇒ length = [300 - 2w ]/2 = 150 - w

Area, A = width * length = w(150-w) = 150w -w^2

Roots = w = 0 and w =150
Vertex
           w =[0 + 150]/2 = 75
           A = 75(150-75) = 75^2 = 5625

           (75,5625)

Given that the coefficient of w^2 is negative, the vertex is the maximum of the function or area.

The second coordinate of the vertex (5625) is the maximum area the fence can enclose.

the maximum area that can be enclosed by the fencing.
 Hope this helps!