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.

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.
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