Let [tex] x,y[/tex] be the dimensions of the rectangle. Given the ratio, we know that
[tex] x=1.6y [/tex]
The area is the multiplication of the dimensions, so we have
[tex] A = 2822.2 = xy = (1.6y)y = 1.6y^2 [/tex]
Dividing both sides by 1.6, we have
[tex] y^2 = \dfrac{2822.2}{1.6} = 1763.875 [/tex]
Take the square root of both sides:
[tex] y = \sqrt{1763.875} [/tex]
Then, plug the equation for x in terms of y:
[tex] x = 1.6\sqrt{1763.875} [/tex]
