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?(1 point)
The diagonal of a square can be found using the Pythagorean theorem. Let's denote the side length of the square as s and the length of the diagonal as d.
According to the given information, we have the equation:
d = √2 * s
We are given that √2 is approximately 1.4, so we can substitute this value into the equation:
d = 1.4 * s
The side length of the square park is given as 700 feet. Let's substitute this value into the equation:
d = 1.4 * 700
d = 980
Therefore, the approximate length from one corner to an opposite corner of the square park is 980 feet.