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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.
To find the length of a side of the square field, we need to take the square root of the area of the field.
Let's 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.
Since we know the area of the field is 479 ft², we can set up the equation: 479 = s^2.
To solve for s, we need to take the square root of both sides of the equation.
√479 = √(s^2)
Taking the square root of 479 gives us approximately 21.882.
Therefore, the approximate length of a side of the field is 22 feet (rounded to the nearest whole number since we are measuring in feet).
Explanation: The square root of a number gives us the value that, when multiplied by itself, equals the original number. In this case, taking the square root of 479 gives us the length of one side of the square field. Since lengths cannot be negative, we take the positive square root. Rounding the result to the nearest whole number gives us the approximate length of a side.
To find the length of a side of the square field, we need to calculate the square root of the field's area.
Given that the area of the field is 479 ft², we can find the length of one side by taking the square root of 479.
Using a calculator, we have:
√479 ≈ 21.88
Rounding to the nearest foot, the approximate length of a side of the field is 22 feet.
This is an approximation because the square root of 479 is an irrational number and cannot be expressed exactly as whole numbers or fractions. Rounding to the nearest foot gives us a reasonable estimate.