Let the width of a rectangle be x, then the length is x+4, the area is x (x+4) = x 2+4x, and the circumference is 4x+8.

The circumference of a square is 44-(4x+8)=36-4x, the side length is 9-x and the area is (9-x) 2.

So x 2+4x+(9-x) 2 = 6 1, which is simplified as x 2-7x+ 10 = 0, that is, (x-2)(x-5)=0.

X=2 or 5,

I.e. the width is 2 or 5.