the total fencing around a square field is 80 yards. the field has an area of how many square yards?

The field has an area of 400 square yards.

Step-by-step reasoning

• The “total fencing” around the square field is the perimeter , which is 80 yards.

• For a square, the perimeter PPP is P=4sP=4sP=4s, where sss is the side length.

• So 4s=80⇒s=80÷4=204s=80\Rightarrow s=80\div 4=204s=80⇒s=80÷4=20 yards.

• The area AAA of a square is A=s2A=s^{2}A=s2.

• Therefore A=202=400A=20^{2}=400A=202=400 square yards.

So the area of the square field is 400 square yards.

Information gathered from public forums or data available on the internet and portrayed here.