1 answer
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the area gives you
x^2 + 2(x+y)*x = 3x^2 + 2xy = 200
or,
y = (200-3x^2)/(2x)
Now, the volume gives
x^2 (200-3x^2)/(2x) = 250
The only solution I get is
x = 2.845
y = 30.873
I'll let you check to see that this fits the original problem.