Question
Brody calculated the area of a square to be 16/36 which shows the side length of the square A 2/9 ft B 1/3 ft C 4/9 ft D 2/3 ft
Answers
GPT-4o mini
To find the side length of a square from its area, we take the square root of the area. The area given by Brody is \( \frac{16}{36} \).
First, let's simplify the area:
\[
\frac{16}{36} = \frac{4}{9}
\]
Now, we find the side length of the square by taking the square root of the area:
\[
\text{Side length} = \sqrt{\frac{4}{9}} = \frac{\sqrt{4}}{\sqrt{9}} = \frac{2}{3}
\]
Thus, the side length of the square is \( \frac{2}{3} \, \text{ft} \).
The correct option is:
**D) \(\frac{2}{3}\) ft**.
First, let's simplify the area:
\[
\frac{16}{36} = \frac{4}{9}
\]
Now, we find the side length of the square by taking the square root of the area:
\[
\text{Side length} = \sqrt{\frac{4}{9}} = \frac{\sqrt{4}}{\sqrt{9}} = \frac{2}{3}
\]
Thus, the side length of the square is \( \frac{2}{3} \, \text{ft} \).
The correct option is:
**D) \(\frac{2}{3}\) ft**.