The area of a rectangular field is 5000 yd^2. The length of the field is twice the width. Find the dimensions of the field.

Let W be the width....so the length is 2W

So we have

W * (2W)  = 5000   simplify

2W^2  = 5000 divide by 2

W^2  = 2500     take the square root of both sides

W  = 50

And the length is 2W  = 2(50)  = 100

So the field is 50 x 100