Is it possible to design a rectangular park of perimeter 80 m and area 400 m2? If so, find its length and breadth.
Let the length and breadth of park be ‘a’ and ‘b’ m
Given, rectangular park of perimeter 80 m and area 400 m2.
⇒ 2(a + b) = 80
⇒ a + b = 40
⇒ a = 40 – b
⇒ a × b = 400
⇒ (40 – b)b = 400
⇒ b2 – 40b + 400 = 0
⇒ (b – 20)2 = 0
⇒ b = 20 m
Thus, it is possible to design a rectangular park with length = 20m and breadth = 20 m