The diagonal of a square equals square root 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 answer

To determine the diagonal length of a square park with a side length of 700 feet, we can use the property that the diagonal \( d \) of a square is given by the formula:

\[ d = s \sqrt{2} \]

where \( s \) is the side length of the square. Given that \( s = 700 \) feet, we can substitute this value into the formula.

Given \( \sqrt{2} \approx 1.4 \), we can calculate:

\[ d \approx 700 \times 1.4 \]

Calculating the product:

\[ d \approx 700 \times 1.4 = 980 \text{ feet} \]

Therefore, the approximate length from one corner to the opposite corner of the square park is \( \boxed{980} \) feet.