Question 321510
2L + 2W = 32 ___ L + W = 16 ___ L = 16 - W


A = L * W = (16 - W)W = 16W - W^2 ___ this is a downward opening parabola with the maximum for A at the vertex
___ the vertex is on the axis of symmetry


W = -b / 2a = -16 / [2*(-1)] = 8


A = (16 - 8)8 = 64


the rectangle with the maximum area is a square