Is it possible to design a rectangular park of perimeter 80m

SOLUTION Let the length and breadth of the park be L and b. Perimeter = 2 ( L + b ) = 80 L + b = 40 Or, b = 40 − L Area = L × b = L ( 40 − L ) = 40 L − L 2 = 400 = L 2 − 40 L + 400 = ( L − 20 ) 2 Therefore, length of park, L = 20 m And breadth of park, b = 40 − L = 40 − 20 = 20 m . Since the length = breadth, the park is in the shape of a square, which is also a rectangle.

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