Let l be the length and w be the width so that the perimeter is:
P=2l+2w

We find an expression for l in terms of w using the given perimeter: 1040=2l+2w

Divide both sides by 2: 520=l+w

520-w=l

The ratio of the length to the width is 2.25: l/w=2.25

\(\displaystyle\frac{{{520}-{w}}}{{w}}={2.25}\)

Multiply both sides by 2.25: 520-w=2.25w

Add w to both sides: 520=3.25w

Divide both sides by 3.25: 160=w

Solve for l using (1): l=520-160

l=360

So, the dimentions of the field are 360 feet by 160 feet

We find an expression for l in terms of w using the given perimeter: 1040=2l+2w

Divide both sides by 2: 520=l+w

520-w=l

The ratio of the length to the width is 2.25: l/w=2.25

\(\displaystyle\frac{{{520}-{w}}}{{w}}={2.25}\)

Multiply both sides by 2.25: 520-w=2.25w

Add w to both sides: 520=3.25w

Divide both sides by 3.25: 160=w

Solve for l using (1): l=520-160

l=360

So, the dimentions of the field are 360 feet by 160 feet