Question

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

Answer 1

let length=xm
let breath=ym
According to Question
Perimeter=80m
2(x+y)=80
x+y=40
y=40-x
area=400m
xy=400
x(40-x)=400
`x^2-40x+400=0`
Solving this
x=20m
putting this value in equation 1
y=20m