54.0 feet
13.5 ft.
54.0 feet
45.5 feet
3 answers
To find the side length of a square wall given its area, you can use the formula for the area of a square:
\[ \text{Area} = \text{side length}^2 \]
Given that the area is 182 square feet, you can find the side length by taking the square root of the area:
\[ \text{side length} = \sqrt{182} \]
Calculating that:
\[ \sqrt{182} \approx 13.45 \text{ feet} \]
Looking at the provided options, the measurement closest to the side length of this wall is 13.5 feet.
While it's true that the area formula for a rectangle is length multiplied by width (A = l × w), and that a square has four equal sides (s), you cannot simply divide the area by four to find the side length.
For a square, the area is calculated using:
\[ \text{Area} = \text{side length}^2 \]
To find the side length from the area, you need to take the square root of the area.
If the area of a square is \( A = 182 , \text{square feet} \), you find the side length \( s \) by calculating:
\[ s = \sqrt{A} = \sqrt{182} \approx 13.45 , \text{feet} \]
Dividing 182 by 4 does not give you the side length. Instead, if you were to divide by 4, you would get:
\[ \frac{182}{4} = 45.5 , \text{square feet} \]
This is not relevant for finding the side length of the square; it's simply not the correct mathematical operation.
Thus, in summary, the closest measurement for the side length of the wall is still 13.5 feet after taking the square root of the area.
