The diagonal of a square equals 2–√ times the side length. Using 1.4 for the square root of 2, what is the approximate length in feet from one corner to an opposite corner of a square park that is 700 feet on a side?

Answer 1

The length of the diagonal can be found using the equation:

diagonal = (side length) * (2–√)

Given that the side length is 700 feet, the diagonal can be calculated as:

diagonal = 700 * (2–√)

Using 1.4 as the approximate value of the square root of 2, the length of the diagonal can be approximated as:

diagonal ≈ 700 * (2 - 1.4) ≈ 700 * 0.6 ≈ 420 feet

Therefore, the approximate length from one corner to an opposite corner of the square park is 420 feet.

Answer 2

The diagonal of a square equals √2 times the side length. Using 1.4 for the square root of 2, what is the approximate length in feet from one corner to an opposite corner of a square park that is 700 feet on a side?