Essay
Note: Your teacher will grade your response ensure that you receive proper credit for your answer.
A square field has an area of 479 ft2. What is the approximate length of a side of the field? Give your answer to the nearest foot. Explain your response.
(2 points)
To find the approximate length of a side of the square field, we need to take the square root of the area of the field. The area of the square field is given as 479 ft².
The square root of 479 can be estimated using a calculator or using estimation techniques. By estimating, we can determine that the square root of 479 is approximately 21.9.
Since the length of a side of a square is equal to the square root of its area, the approximate length of a side of the field is 21.9 ft.
However, the question asks us to give the answer to the nearest foot, so we round our result. The number after the decimal point is 9, which is greater than or equal to 5. Therefore, we round up the length to the nearest foot.
Hence, the approximate length of a side of the field is 22 ft.
To find the length of a side of the square field, we can use the formula for the area of a square.
The formula for the area of a square is:
Area = side^2
Given that the area of the square field is 479 ft^2, we can plug this value into the formula and solve for the side length.
479 = side^2
To find the length of one side, we need to take the square root of both sides of the equation:
√479 = √(side^2)
√479 ≈ 21.89
Therefore, the approximate length of a side of the field is 21.89 ft. However, since we need to give our answer to the nearest foot, we round this number to the nearest whole number:
Approximate length of a side of the field = 22 ft.
So, the approximate length of a side of the square field is 22 ft.
To find the length of a side of the square field, we need to use the formula for the area of a square: A = s^2, where A is the area and s is the length of a side.
In this problem, we are given the area of the square, which is 479 ft^2. Now, we can substitute this value into the formula:
479 ft^2 = s^2
To find the value of s, we need to take the square root of both sides of the equation:
√(479 ft^2) = √(s^2)
Using a calculator or online tool, we find that √(479) is approximately 21.89.
So, the approximate length of a side of the square field is 21.89 feet. However, since we need to give our answer to the nearest foot as requested in the question, we round the value to the nearest whole number.
Therefore, the approximate length of a side of the square field is 22 feet.