Question

is it possible to design a rectangular Park of perimeter and area 400 metre square find the length and breadth​

Answer 1

Length = l

Breadth = b

Perimeter = 2(L+b) = 80

=> l+b = 40 .......... (eq 1)

Area = lb = 400 ........... (eq 2)

=> (l+b)2 = (l-b)2 + 4lb

=> 402 = (l-b)2 + 4 x 400 [From eqn 1 & 2)

=> 1600 = (l-b)2 + 1600

=> l-b = 0 .................... (eq 3)

L+b = 40

L-b = 0

2L = 40 => L = 20. If L=20, then B=20

So, yes ! We can construct a rectangular park of this length which is a square.

Square is a Rectangle.