Question
You want to install a small square window that has an area of 350 square inches. What is the length (to the nearest tenth) of each side?
Answers
GPT-4o mini
To find the length of each side of a square window with an area of 350 square inches, you can use the formula for the area of a square:
\[
\text{Area} = s^2
\]
where \(s\) is the length of a side of the square. To find \(s\), rearrange the formula:
\[
s = \sqrt{\text{Area}}
\]
Substituting the area:
\[
s = \sqrt{350}
\]
Now calculate \( \sqrt{350} \):
\[
s \approx 18.708
\]
Rounding to the nearest tenth, the length of each side of the window is:
\[
\boxed{18.7} \text{ inches}
\]
\[
\text{Area} = s^2
\]
where \(s\) is the length of a side of the square. To find \(s\), rearrange the formula:
\[
s = \sqrt{\text{Area}}
\]
Substituting the area:
\[
s = \sqrt{350}
\]
Now calculate \( \sqrt{350} \):
\[
s \approx 18.708
\]
Rounding to the nearest tenth, the length of each side of the window is:
\[
\boxed{18.7} \text{ inches}
\]