Answer: Length of fence along the diagonal is 28.3 feet.
Step-by-step explanation:
Since we have given that
The Blackburn family has a square field ,
Area of square = 40000 ft square
As we know the formula,
![\text{ Area of square}=Side* Side\\\\40000=Side^2\\\\√(40000)=Side\\\\200\ ft=Side](https://img.qammunity.org/2019/formulas/mathematics/middle-school/g3t3es7bl5lfruc11wrsg5dy8jxz6lbg2w.png)
But Blackburn wants to put a fence diagonally through the field ,
As we know the formula for "Diagonal of side" i.e.
![\text{ Diagonal of square}=√(2)Side\\\\\text{ Diagonal of square}=20√(2)\\\\So,\\\\\text{Length of fence along the diagonal}=20* 1.41=28.3\ ft](https://img.qammunity.org/2019/formulas/mathematics/middle-school/sovsej0rma03dphpwqpbmckf0f9i5p2n5c.png)
Hence, length of fence along the diagonal is 28.3 feet.