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?
The diagonal of a square is given by the formula:
diagonal = side length * √2
We are given that the diagonal is equal to "2–√ times the side length" which can be expressed as:
diagonal = (2 - √2) * side length
We are also given that the side length of the square park is 700 feet. Substituting this value into the formula, we have:
diagonal = (2 - √2) * 700
The value of √2 is given as 1.4. Substituting this value into the formula, we have:
diagonal = (2 - 1.4) * 700
diagonal = (0.6) * 700
diagonal = 420 feet
Therefore, the approximate length from one corner to an opposite corner of the square park is 420 feet.