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?(1 point)
The length of the diagonal of a square is equal to the side length times the square root of 2.
Using 1.4 as an approximation for the square root of 2, we can calculate the approximate length of the diagonal in feet by multiplying the side length (700 feet) by 1.4.
Approximate length of diagonal = 700 feet * 1.4 = 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, we can use the formula:
diagonal = side length * √2
Given that the side length of the square park is 700 feet, we can substitute this value into the formula:
diagonal = 700 feet * √2
Since we are given that the square root of 2 is approximately 1.4, we can substitute this value as well:
diagonal ≈ 700 feet * 1.4
Simplifying the equation, we find:
diagonal ≈ 980 feet
Therefore, the approximate length from one corner to an opposite corner of the square park is 980 feet.