Question

The area of one square wall in a room is 87.5 ft^2. Which measurement is closest to the side length of the wall in feet?A. 7ft B. 44ftC. 9ftD. 22ft

Answer 1

C. 9 ft

Step-by-step explanation

The area of the square wall is 87.5 ft^2.

To find the measurement that is closest to the side length of the wall, we have to find the side length of the wall first.

To do that, we will use the formula for Area of a square:

`\begin{gathered} A=L^2 \\ \Rightarrow\text{ L = }\sqrt[]{A} \end{gathered}`

where L = side length of wall.

Therefore, the length of the wall is:

`\begin{gathered} L\text{ = }\sqrt[]{87.5} \\ L\text{ = 9.35 ft} \end{gathered}`

Therefore, by comparison, the measurement that is closest to the side length of the wall is 9 ft.

Option C is the answer.