Let x be the length and y be the breadthof the rectgangle. Asked = x+y+sqrt(x^2+y^2)

1. xy = 563 . Not sufficient

2. x^2+y^2 = 2890 or sqrt(x^+y^2) =sqrt(2890)

1+2------> multiply 1 by 2 we get, 2xy = 563*2

Add this to 2

we get x^2 + y^2 + 2xy = 2890 + 1126

or (x+y)^2 = smthng

or x+y = sqrt (some real no )= some real no

Thus, combination is sufficient

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