The blackburn family has a square field where they keep their cattle. the area of the field is 40,000ft squared, and mr blackburn wants to put a fence diagonally through the field. what should the length of the fence be?

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.