Question
Bryan calculated the area of a square to be 9/16 square foot. Which shows the side length of the square? (Hint: Area of a square equals side x side.
Answers
GPT-4o mini
To find the side length of a square, we can use the formula for the area of a square, which is:
\[
\text{Area} = \text{side} \times \text{side} = \text{side}^2
\]
Given that the area is \( \frac{9}{16} \) square feet, we can set up the equation:
\[
\text{side}^2 = \frac{9}{16}
\]
To find the side length, we take the square root of both sides:
\[
\text{side} = \sqrt{\frac{9}{16}}
\]
The square root of a fraction can be found by taking the square root of the numerator and the square root of the denominator:
\[
\text{side} = \frac{\sqrt{9}}{\sqrt{16}} = \frac{3}{4}
\]
So, the side length of the square is \( \frac{3}{4} \) feet.
\[
\text{Area} = \text{side} \times \text{side} = \text{side}^2
\]
Given that the area is \( \frac{9}{16} \) square feet, we can set up the equation:
\[
\text{side}^2 = \frac{9}{16}
\]
To find the side length, we take the square root of both sides:
\[
\text{side} = \sqrt{\frac{9}{16}}
\]
The square root of a fraction can be found by taking the square root of the numerator and the square root of the denominator:
\[
\text{side} = \frac{\sqrt{9}}{\sqrt{16}} = \frac{3}{4}
\]
So, the side length of the square is \( \frac{3}{4} \) feet.