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 length of the diagonal of a square is given by the formula: diagonal = side length * √2.
Given that the side length of the square park is 700 feet, we can substitute this value into the formula to find the length of the diagonal:
diagonal = 700 feet * 1.4
diagonal = 980 feet
Therefore, the approximate length in feet from one corner to an opposite corner of the square park is 980 feet.
To find the length from one corner to an opposite corner of a square, we can use the formula for the diagonal of a square.
The formula for the diagonal of a square is: diagonal = side length * √2
Given that the side length of the square park is 700 feet, we can substitute this value into the formula:
diagonal = 700 * √2
Since we are given the approximate value of √2 as 1.4, we can substitute this approximation into the formula as well:
diagonal = 700 * 1.4
Now we can calculate the approximate length of the diagonal:
diagonal = 980 feet
Therefore, the approximate length from one corner to an opposite corner of the square park is 980 feet.