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 70 feet on a side?
To find the length in feet from one corner to an opposite corner of the square park, we can use the formula for the diagonal of a square:
Diagonal = (2-√2) * side length
Given that the side length of the square park is 70 feet and approximating 1.4 for the square root of 2, we can plug these values into the formula:
Diagonal = (2-√2) * 70
Diagonal = (2-1.4) * 70
Diagonal = 0.6 * 70
Diagonal = 42
Therefore, the approximate length in feet from one corner to an opposite corner of the square park is 42 feet.
To find the length of the diagonal, we can use the formula:
diagonal = side length * (2 - √2)
Given that the side length of the square park is 70 feet and the square root of 2 is approximately 1.4, we can substitute the values into the formula:
diagonal = 70 * (2 - 1.4)
Now let's calculate the diagonal:
diagonal = 70 * 0.6
diagonal = 42
Therefore, the approximate length in feet from one corner to an opposite corner of the square park is 42 feet.