Posted by eav on Friday, November 16, 2012 at 6:18am.
find the area of the largest rectangle having one side on the x axis and inscribed in the triangle formed by the lines y=x, y=0, and 3x + y = 20

calculus  Steve, Friday, November 16, 2012 at 10:42am
if the height of the rectangle is y, the base of the rectangle is (20y)/3  y.
So, the area is y((20y)/3  y) = 4/3 (5yy^2)
max area where 52y = 0, or y = 5/2.
So, the largest rectangle has area 50/3
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