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.

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