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 feets from one corner to an opposite corner of a square park that is 700 feet on a side?
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The diagonal of a square is equal to the side length multiplied by √2. Therefore, the length of the diagonal can be found by multiplying 700 feet (the side length) by √2.
Diagonal length = 700 ft * √2
Using the given approximation for √2, we have:
Diagonal length ≈ 700 ft * 1.4
Diagonal length ≈ 980 ft
Therefore, the approximate length in feet from one corner to an opposite corner of the square park is 980 feet.
To find the length from one corner to an opposite corner of a square park, we can use the Pythagorean theorem. According to the theorem, the square of the hypotenuse (diagonal) of a right triangle is equal to the sum of the squares of the other two sides.
Let's denote the side length of the square park as s and the length of the diagonal as d.
From the given information, we have the equation:
d = √2 * s
Substituting the value for √2 with 1.4, we get:
d = 1.4 * s
Given that the side length of the square park is 700 feet, we can substitute s = 700 into the equation:
d = 1.4 * 700
Calculating the value, we have:
d = 980 feet
Therefore, the approximate length from one corner to an opposite corner of the square park is 980 feet.
To find the length from one corner to an opposite corner of a square park, we can use the relationship between the diagonal and the side length of a square.
Given that the diagonal of a square equals √2 times the side length, we can set up the following equation:
Diagonal = √2 * Side length
We are given that the square park has a side length of 700 feet:
Diagonal = √2 * 700 feet
Next, we can substitute the approximated value of √2, which is given as 1.4:
Diagonal = 1.4 * 700 feet
Simplifying this equation, we find:
Diagonal = 980 feet
Therefore, the approximate length from one corner to an opposite corner of the square park is 980 feet.