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

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

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