Asquare serving patter has the area of 124*124 square inches Which is the best estimate for one side lenght of the latter?
The Correct Answer and Explanation is:
To find the side length of a square when you know its area, you simply need to take the square root of the area.
The area of the square is given as 124×124124 \times 124124×124 square inches. To find the side length of the square, we need to calculate the square root of the area.Area=side2\text{Area} = \text{side}^2Area=side2
So,side=Area\text{side} = \sqrt{\text{Area}}side=Area
Substitute the value of the area:side=124×124\text{side} = \sqrt{124 \times 124}side=124×124
This simplifies to:side=15,376≈124\text{side} = \sqrt{15,376} \approx 124side=15,376≈124
Thus, the side length of the square is approximately 124 inches.
Explanation:
In general, the formula for the area of a square is:Area=side2\text{Area} = \text{side}^2Area=side2
When you know the area, you can reverse this formula by taking the square root to find the side length:side=Area\text{side} = \sqrt{\text{Area}}side=Area
In your case, since the area is 124×124124 \times 124124×124, the side length of the square is essentially 124 inches. The number is already a perfect square, so the square root of 15,376 is exactly 124, which means the side length of the square is 124 inches.
This method applies to any square, and it’s an easy way to find the side length when you know the area.
