Q. 54.0( 17 Votes )

Is it possible to design a rectangular park of perimeter 80m. and area 400m2? If so, find its length and breadth.

Answer :

Let Length of rectangular park be x and breadth be (40 - x)

Area = 400 m2


x(40 - x) = 400


x2 - 40x + 400 = 0


Discriminant = ( - 40)2 - 4 × 1 × 400


Discriminant = 1600 - 1600 = 0


Since Discriminant is 0 so it is possible


x2 - 40x + 400 = 0


(x - 20)2 = 0


x = 20 m


Answer: Length = 20m, Breadth = 20m


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