To determine the side length of a square based on its perimeter, we can use the formula for the perimeter of a square, which is \( P = 4s \), where \( s \) is the length of one side of the square.
Given the choices you provided, let’s analyze the statements relative to the perimeter.
- If the perimeter was expressed as \( P \), then the side length \( s \) would be \( s = \frac{P}{4} \).
Now, let's break down each statement assuming that the perimeter \( P \) is adequately represented for each of the side lengths provided.
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The square has 4 sides of length \( x + \frac{1}{2} \):
If this is the side length, then the perimeter would be \( P = 4\left(x + \frac{1}{2}\right) = 4x + 2 \). -
The square has 4 sides of length \( 8x + 4 \):
If this is the side length, then the perimeter would be \( P = 4(8x + 4) = 32x + 16 \). -
The square has 4 sides of length \( 2x - 1 \):
If this is the side length, then the perimeter would be \( P = 4(2x - 1) = 8x - 4 \). -
The square has 4 sides of length \( \frac{1}{2}x + \frac{1}{4} \):
If this is the side length, then the perimeter would be \( P = 4\left(\frac{1}{2}x + \frac{1}{4}\right) = 2x + 1 \).
To summarize, each statement quantifies the side length of the square correctly according to the formula for the perimeter \( P = 4s \). Without knowing the specific expression for the perimeter referred to in your original question, all of these descriptions can be considered valid for their corresponding expressions.
If you have a specific perimeter to compare these side lengths against, please provide it, and I can help determine the best match!
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