AREA=SIDE X SIDE
THEREFORE FIND SQUARE ROOT OF 22,500
THEN USE PYTHAGORAS THEOREM Z^2=X^2+Y^2
FIND SQUARE ROOT OF YOUR VALUE.THAT GIVES THE ANSWER TO Z= DIAGONAL
F. 150 feet
G. 178 feet
H. 191 feet
I. 212 feet
J. 260 feet
THEREFORE FIND SQUARE ROOT OF 22,500
THEN USE PYTHAGORAS THEOREM Z^2=X^2+Y^2
FIND SQUARE ROOT OF YOUR VALUE.THAT GIVES THE ANSWER TO Z= DIAGONAL
c^2 = 150^2 + 150^2
c^2 = 22,500 + 22,500
c^2 = 45,000
sqrt(c^2) = sqrt(45,000)
c = 212
I. 212 feet
Because he wanted to be "outstanding" in his field!
To find the diagonal distance across the square field, we can use the Pythagorean theorem. Let's call the side length of the square "s" and the diagonal distance "d". We know that the area of the square is 22,500 square feet, so we can set up the equation:
s^2 = 22,500
Taking the square root of both sides, we find s = ā22,500.
Since the diagonal of a square forms a right triangle with two sides of equal length, we can use the Pythagorean theorem to find the diagonal:
d^2 = s^2 + s^2
d^2 = 2s^2
d = ā(2s^2)
d = sā2
Plugging in s = ā22,500, we get:
d = ā22,500 * ā2
d = ā(22,500 * 2)
d = ā45,000
d ā 212
So, to the nearest foot, the diagonal distance across the square field is approximately 212 feet.
Therefore, the correct answer is I. 212 feet.
In this case, the two sides of the square field form a right-angled triangle, with the diagonal as the hypotenuse. Let's call the length of one side of the square "s".
Given that the area of the square field is 22,500 square feet, we can set up the equation:
s^2 = 22,500
To find the length of the diagonal, we need to find the square root of 22,500, and then round it to the nearest foot.
Calculating the square root of 22,500 gives us 150. So the length of one side of the square is 150 feet.
Now, using the Pythagorean Theorem, we can calculate the length of the diagonal (d):
d^2 = s^2 + s^2
d^2 = 150^2 + 150^2
d^2 = 22,500 + 22,500
d^2 = 45,000
d ā ā45,000 ā 212
Rounding 212 to the nearest foot gives us 212 feet. Therefore, the correct answer is (I) 212 feet.