Question

The area of a square field is 200 square feet. What is the approximate length of each side of the field? Round your answer to the nearest foot.

Answer 1

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

$\sqrt{200}=10\sqrt2 \approx14$