Question

an isolation triangle has a base of 6 units and a height of 12 units. find the maximum possible area for a rectangle that is inscribed in the triangle and has one side resting on the base of the triangle. what are the dimensions of the rectangle of maximum area?

Answer 1

X=6(1-y/12)
X=6-0.5y
A=xy
dA/dx=d/dx(6-0.5y)(y)
dA/dx=6-y
0=6-y
y=6

X=6-(0.5)(6)
X=3

Answer 2

72