A SQUARE GARDEN HAS AN AREA OF 65 SQUARE METERS. THE LENGTH OF A SIDE IS BETWEEN WHICH TWO MEASUREMENTS.
What is the square root of 65?
Well, if a square garden has an area of 65 square meters, then the length of a side would be between "too short for a fun game of hide and seek" and "just long enough to accidentally kick a soccer ball through the neighbor's window."
To find the length of a side of a square garden with an area of 65 square meters, we can use the formula for the area of a square, which is side length squared.
Let's assume that the length of a side is x.
According to the problem, the area of the square garden is 65 square meters. Therefore, we can write the equation:
x^2 = 65
To find the possible values of x, we need to solve this equation for x.
Taking the square root of both sides of the equation:
√(x^2) = √65
x = ±√65
This means the length of a side can be either the positive or negative square root of 65. Since side length cannot be negative in this case, we can conclude that the length of a side is between √65 and -√65.
Therefore, the possible measurements for the length of a side of the square garden are approximately:
-√65 < x < √65
To find the range of possible measurements for the length of a side of a square garden with an area of 65 square meters, we need to calculate the square root of the area.
The formula to find the length of a side of a square is:
Length of Side = Square Root of Area
So, to find the length of a side, we can take the square root of 65.
√65 ≈ 8.06
The length of a side of the square garden is approximately 8.06 meters.
Since the question asks for a range of measurements, we need to determine the two nearest whole numbers above and below 8.06.
The nearest whole number below 8.06 is 8, and the nearest whole number above 8.06 is 9.
Therefore, the range of possible measurements for the length of a side of the square garden is between 8 and 9 meters.