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

The side length of the square is 1/4 of its perimeter, so is 20 yards. The area of the square is the square of its side length, so is (20 yd)² = 400 yd².

ANSWER

The field has an area of


EXPLANATION

The total fencing around a square field gives the total distance around the square field.

The total fencing around the field being

yards means, the perimeter is 80 yards.

Recall that the perimeter of a square is given by the formula,



This implies that,



We divide both sides by 4 to get,



This implies that


We now obtain the area of the square by using the formula,

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