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Write two different expressions for the perimeter of a square. What can you conclude from the two expressions in a sentence? All four sides are represented by 's.'

a) 4s and 2s + 2s
b) 2s and s + s
c) 4s and 4s
d) 2s and 2s

Answer :

Final answer:

Both expressions, 4s and 2s + 2s, calculate the perimeter of a square and are equivalent; they conclude the same result, namely that the perimeter is four times the length of one side of the square.

Explanation:

The question involves two different expressions for calculating the perimeter of a square. The expressions given are:

  • 4s
  • 2s + 2s

For a square with side length 's', both expressions essentially represent the same quantity - the total length of the four sides of the square. Therefore, it can be concluded that:

"Regardless of the expression used, whether 4s or 2s + 2s, they both simplify to equal the same perimeter for a square, which is four times the length of one side."

This conclusion mirrors the concept that the perimeter is the sum of all sides and in the case of a square, all four sides are equal, making the calculation straightforward.

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