Question

The perimeter of a square is represented by the expression

Which statement best describes the square?

Responses

The square has
sides of length




The square has 4 sides of length - no response given

The square has
sides of length
The square has 4 sides of length x+ 1/2

The square has
sides of length
The square has 4 sides of length 8x + 4

The square has 4 sides of length 2x - 1







The square has 4 sides of length 1/2x + 1/4

Answer 1

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.

1. 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.

- **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!