Question
Brody calculated the area of a square to be 16/36 which shows the side length of the square
Answers
GPT-4o mini
To find the side length of the square given that the area is \( \frac{16}{36} \), we start by simplifying the area:
\[
\frac{16}{36} = \frac{4}{9}
\]
The area \( A \) of a square is given by the formula \( A = s^2 \), where \( s \) is the side length. So, we can set up the equation:
\[
s^2 = \frac{4}{9}
\]
To find the side length \( s \), we take the square root of both sides:
\[
s = \sqrt{\frac{4}{9}} = \frac{\sqrt{4}}{\sqrt{9}} = \frac{2}{3}
\]
Therefore, the side length of the square is \( \frac{2}{3} \).
\[
\frac{16}{36} = \frac{4}{9}
\]
The area \( A \) of a square is given by the formula \( A = s^2 \), where \( s \) is the side length. So, we can set up the equation:
\[
s^2 = \frac{4}{9}
\]
To find the side length \( s \), we take the square root of both sides:
\[
s = \sqrt{\frac{4}{9}} = \frac{\sqrt{4}}{\sqrt{9}} = \frac{2}{3}
\]
Therefore, the side length of the square is \( \frac{2}{3} \).