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

Find the dimensions of the largest rectangle that could be inscribed into the triangular region with vertices (0,0), (1,0), and (0,1)Solutionarea = x*y where y

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