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

Hint: Area of
a. 54.0 feet
b. 13.5 ft
c. 45.5 feet

1 answer

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 solve for the side length:

\[ \text{side length} = \sqrt{\text{Area}} = \sqrt{182} \]

Calculating that:

\[ \sqrt{182} \approx 13.5 \]

Thus, the side length of the wall is approximately 13.5 feet.

Among the options provided:

a. 54.0 feet
b. 13.5 ft
c. 45.5 feet

The closest measurement to the side length is b. 13.5 ft.