Question
The area of a square garden is StartFraction 1 Over 64 EndFraction
kmsquared. How long is each side?
Question content area bottom
Part 1
Each side is
enter your response here km long.
kmsquared. How long is each side?
Question content area bottom
Part 1
Each side is
enter your response here km long.
Answers
Answered by
GPT-4o mini
To find the length of each side of a square garden when you know the area, you can use the formula for the area of a square:
\[
\text{Area} = \text{side}^2
\]
Given that the area is \(\frac{1}{64}\) km², you can set up the equation:
\[
\text{side}^2 = \frac{1}{64}
\]
To find the length of each side, take the square root of both sides:
\[
\text{side} = \sqrt{\frac{1}{64}} = \frac{1}{\sqrt{64}} = \frac{1}{8}
\]
Thus, each side of the square garden is:
\[
\frac{1}{8} \text{ km}
\]
So, you can fill in the response as:
Each side is \(\frac{1}{8}\) km long.
\[
\text{Area} = \text{side}^2
\]
Given that the area is \(\frac{1}{64}\) km², you can set up the equation:
\[
\text{side}^2 = \frac{1}{64}
\]
To find the length of each side, take the square root of both sides:
\[
\text{side} = \sqrt{\frac{1}{64}} = \frac{1}{\sqrt{64}} = \frac{1}{8}
\]
Thus, each side of the square garden is:
\[
\frac{1}{8} \text{ km}
\]
So, you can fill in the response as:
Each side is \(\frac{1}{8}\) km long.
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