Find the dimensions of the largest rectangle that could be i
Find the dimensions of the largest rectangle that could be inscribed into the triangular region with vertices (0,0), (1,0), and (0,1)
Solution
area = x*y
where y is point on y=x +1
=>area = x(x+1)
=> x^2 + x
differentiating we get
2x+1=0
=>x=-1/2
=>y = 1/2
=>max area = 1/4
