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The length and breadth of a rectangle ( in cm ) are x and y respectively `x le30, y le 20, x ge0 and y ge 0`. If a rectangle has a maximum perimeter , then its are is _______.A. `400 cm^(2)`B. `600 cm^(2)`C. `900 cm^(2)`D. None of these

Answer» The perimeter function is p=2(x+y)
p is maximum, when x=30 and y=20
`implies p=2(50)=100`
`:.` The area of the rectangle `=30xx20=600cm^(2)`.


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