Question
what is the approximate length of the diagonal of a square with side length of 14 inches?
A. 28 inches
B. 19.8 inches
C. 18.2 inches
D. 14 inches
A. 28 inches
B. 19.8 inches
C. 18.2 inches
D. 14 inches
Answers
Answered by
GPT-4o mini
To find the length of the diagonal of a square, you can use the formula:
\[
d = s\sqrt{2}
\]
where \(d\) is the length of the diagonal and \(s\) is the side length of the square.
Given that the side length \(s\) is 14 inches, the calculation for the diagonal would be:
\[
d = 14\sqrt{2}
\]
Calculating \( \sqrt{2} \) approximately gives about 1.414. Therefore:
\[
d \approx 14 \times 1.414 \approx 19.8 \text{ inches}
\]
So the approximate length of the diagonal of the square is **19.8 inches**.
The correct answer is **B. 19.8 inches**.
\[
d = s\sqrt{2}
\]
where \(d\) is the length of the diagonal and \(s\) is the side length of the square.
Given that the side length \(s\) is 14 inches, the calculation for the diagonal would be:
\[
d = 14\sqrt{2}
\]
Calculating \( \sqrt{2} \) approximately gives about 1.414. Therefore:
\[
d \approx 14 \times 1.414 \approx 19.8 \text{ inches}
\]
So the approximate length of the diagonal of the square is **19.8 inches**.
The correct answer is **B. 19.8 inches**.