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 can be found using the equation:
diagonal = (side length) * (2–√)
Given that the side length is 700 feet, the diagonal can be calculated as:
diagonal = 700 * (2–√)
Using 1.4 as the approximate value of the square root of 2, the length of the diagonal can be approximated as:
diagonal ≈ 700 * (2 - 1.4) ≈ 700 * 0.6 ≈ 420 feet
Therefore, the approximate length from one corner to an opposite corner of the square park is 420 feet.
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 given formula states that the diagonal of a square is equal to 2–√ times the side length.
To find the approximate length in feet from one corner to an opposite corner of a square park that is 700 feet on a side, we need to calculate the diagonal length using the given formula.
Let's substitute the values into the formula:
Diagonal = (2 - √2) * Side Length
Side Length = 700 feet
Approximation of √2 = 1.4
Diagonal = (2 - 1.4) * 700
= 0.6 * 700
= 420 feet
Therefore, the approximate length from one corner to an opposite corner of the square park is 420 feet.
To find the length of the diagonal, we can use the formula provided: diagonal = (2 - √2) * side length.
First, let's calculate the square root of 2 using the given approximation: √2 = 1.4.
Now, we can substitute the given values into the formula:
diagonal = (2 - √2) * side length
diagonal = (2 - 1.4) * 700
diagonal = (0.6) * 700
diagonal ≈ 420 feet
Thus, the approximate length from one corner to an opposite corner of the square park is 420 feet.