The diagonal of a square equals 2–√

Question

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)

Answer 1

To find the length of the diagonal of a square, we can use the formula:

\[ \text{Diagonal} = \text{side} \times \sqrt{2} \]

Given that the side length of the square park is 700 feet and using the approximation \(\sqrt{2} \approx 1.4\), we can calculate the diagonal as follows:

\[ \text{Diagonal} = 700 \times 1.4 \]

Calculating this gives:

\[ \text{Diagonal} = 980 \text{ feet} \]

Therefore, the approximate length from one corner to the opposite corner of the square park is 980 feet.