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,
Area of square = Side x Side
40000 = slide[tex]{2}[/tex]
[tex]\sqrt 40000\\[/tex]
20 ft = Side
But Blackburn wants to put a fence diagonally through the field ,
As we know the formula for "Diagonal of side" i.e.
Diagonal of square [tex]\sqrt2Slide[/tex]
Diagonal of square 20[tex]\sqrt2[/tex]
So,
Length of fence along the diagonal = 20 x 1.41 = 28.3
Hence, length of fence along the diagonal is 28.3 feet.
Hope this helps!