Question

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

Answer 1

length is l, width is w
lw=5000
l=2w
2w^2=5000
w^2=2500
w=50 yd
l=100 yd

Answer 2

You can divide the field into two squares of area 2500 yd^2. The side of each of those will be √2500 = 50 yd.

The dimensions of the field are 50 yd by 100 yd.