Question #efaa9

1 Answer
Feb 7, 2018

Let the dimensions of rectangle be aa and bb

Area = a*bab
Perimeter = 2*(a+b)2(a+b)

Given: a*b = 2*(a+b) => ab -2a -2b = 0ab=2(a+b)ab2a2b=0

Let's plot this
graph{(x * y - 2 x - 2 y )= 0 [-10, 10, -5, 5]}

As visible from the graph, there are infinitely many solutions to this equation. We know that a,ba,b can only be positive, and still there are infinitely many solutions.

One such solution is a =3, b = 6a=3,b=6, another one is a=4,b=4a=4,b=4