The diagonal of a square equals 3–√/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?
First, let's find the value of √2. Approximating it to 1.4, we have:
√2 ≈ 1.4
Now, let's calculate the length of the diagonal of the square park. Using the given formula:
Diagonal = (3 - √2/2) * Side length
Substituting the values:
Diagonal = (3 - 1.4/2) * 700
Diagonal = (3 - 0.7) * 700
Diagonal = 2.3 * 700
Diagonal ≈ 1610 feet
Therefore, the approximate length from one corner to an opposite corner of the square park is 1610 feet.
To find the length of the diagonal of the square park, we can use the given formula: diagonal = (3 - √2) * side length.
Given:
Side length of the square park = 700 feet.
Approximate value of √2 = 1.4.
Substituting the values into the formula:
diagonal = (3 - √2) * side length
diagonal = (3 - 1.4) * 700
diagonal = 1.6 * 700
diagonal = 1120 feet.
Therefore, the approximate length from one corner to an opposite corner of the square park is 1120 feet.