A square field has an area of 10 square miles. What is the approximate length, to the nearest thousandth, of one side of this field?

2.5 miles

Verified Answer :

Nvara

About 3.165 miles, I think. I'm doing it mentally, so you'll wanna check it, but the sqr root of 10 is ~3.165

Answer:

One side of the field = 3.162 miles.                  

Step-by-step explanation :

Given : A square field has an area of 10 square miles.

To find : One side of the field.

Solution : Formula of area of square = \(\text{side}^2\)

And we know the area A= 10 square miles.

\(A=s^2\)

\(10=s^2\)

\(s=\sqrt{10}\)

\(s=3.16227\)

Nearest thousandth → s= 3.162

Therefore, one side of the field = 3.162 miles.