If the area of a square field is 200 square feet, what is the approximate length of each side of the field

Question

If the area of a square field is 200 square feet, what is the approximate length of each side of the field?

Answer 1

Tosha,

 

You need to estimate the square root of 200 ft².  Rewrite 200 as 2 x 100, then square root of (2*100) is:

 

10*sqrt(2).  The sqrt(2) = 1.414, so the length of each side of the square will be 10*1.414 = 14.14 ft or about 14 ft.

Answer 2

You know the formula for area of a square s is  s x s or s²

 

So s² = 200 square feet

 

If you take the square root of both sides of the equation you get

 

s = √200 ≈ 14.14 on your calculator