he 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)
To find the length of the diagonal of a square, we can use the formula d = s√2, where d is the length of the diagonal and s is the length of a side of the square.
Given that the side length of the square park is 700 feet and that √2 is approximately 1.4, we can substitute these values into the formula:
d = s√2
d = 700 feet * 1.4
Now we can calculate the approximate length of the diagonal:
d = 700 feet * 1.4
d = 980 feet
Therefore, the approximate length from one corner to an opposite corner of the square park is 980 feet.
To find the length of the diagonal of a square, you can use the formula: diagonal = √2 * side length.
Given that the square root of 2 is approximately 1.4, we can substitute this value into the formula.
Side length of the square = 700 feet
Square root of 2 = 1.4
Diagonal = 1.4 * 700
Diagonal = 980 feet
Therefore, the approximate length from one corner to an opposite corner of the square park is 980 feet.