The Blackburn family has a square field where they keep their cattle. The area of the field is 40,000 ft2, and Mr. Blackburn wants to put a fence diagonally through the field. What should the length of the fence be? * 282.8 feet
4,000 feet
782.6 feet
8,000 feet

Length of the fence will be = 282.84 feet

Step-by-step explanation:

The Blackburn family has a square field to keep their cattle. Area of the field is $40000 square feet.
Then one side of the square field will be = √Area = √40000 = 200 feet
Since diagonal of a square is = √2(side)² = side√2 = 200√2 = 200×1.41 = 282.84 feet.

Therefore length of the fence will be = 282.84 ft.