Question

The area of a square wall is 182 square feet. Which measurement is closest to the side length in feet of this wall?

54.0 feet

13.5 ft.

54.0 feet

45.5 feet

Answer 1

but l x w = a, and a square has fou equal sides, so couldn't you divide by four to get the answer

Answer 2

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**.

Answer 3

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.