The additional of a square equals the square root of two times the links using 1.4 for the square root of two what is the approximate length in feet from one corner to one opposite corner of a square park that is 700 feet on the side
To find the length from one corner to the opposite corner of a square park, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the two sides of the right triangle are the length of one side of the square park (700 feet) and the additional square (x) on each side, which is given by the square root of two times the length of one side (1.4 * 700 feet = 980 feet).
Let's denote the length from one corner to the opposite corner of the square park as 'c'. Then, we have the following equation:
c^2 = (700 feet)^2 + (980 feet)^2
c^2 = 490,000 square feet + 960,400 square feet
c^2 = 1,450,400 square feet
Taking the square root of both sides, we find:
c ≈ √(1,450,400 square feet)
Approximating the square root of 1,450,400 as 1204.98, we get:
c ≈ 1204.98 feet
Therefore, the approximate length from one corner to the opposite corner of the square park is 1204.98 feet.
To find the length from one corner of the square to the opposite corner, we can use the Pythagorean theorem. According to the theorem, the square of the hypotenuse (the longest side of a right triangle) is equal to the sum of the squares of the other two sides.
In this case, we have a square with sides measuring 700 feet. The hypotenuse represents the distance from one corner to the opposite corner. Let's call this length "x."
Using the Pythagorean theorem, we can set up the equation:
x^2 = 700^2 + 700^2
Simplifying the equation:
x^2 = 490,000 + 490,000
x^2 = 980,000
To solve for x, we need to take the square root on both sides of the equation:
x ≈ √980,000
Using the approximate value for the square root of two (1.4), we can approximate the length:
x ≈ 1.4 * √700^2
x ≈ 1.4 * 700
x ≈ 980 feet
Therefore, the approximate length from one corner to the opposite corner of the square park is 980 feet.