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 equal to the side length multiplied by the square root of 2, so the length of the diagonal is 700 * √2 = 700 * 1.4 = 980 feet.
To find the length from one corner to an opposite corner of the square park, we can use the relationship between the diagonal and the side length of a square.
Given that the diagonal of a square equals 2√ times the side length, we can write the following equation:
Diagonal = 2√(Side length)
Using the approximate value for the square root of 2, which is 1.4, the equation becomes:
Diagonal = 2 * 1.4 * Side length
Substituting the side length of the square park, which is 700 feet, we can calculate the diagonal:
Diagonal = 2 * 1.4 * 700 feet
Simplifying the equation:
Diagonal = 2.8 * 700 feet
Calculating the result:
Diagonal ≈ 1960 feet
Therefore, the approximate length from one corner to an opposite corner of the square park is 1960 feet.