Math Problem Statement

Write an expression to represent the side length of a square in terms of the square's perimeter, P .

Solution

To express the side length of a square in terms of its perimeter PP, you can use the following steps:

  1. The formula for the perimeter PP of a square is given by: P=4sP = 4s where ss is the side length of the square.

  2. To find the side length ss, solve for ss by dividing both sides of the equation by 4: s=P4s = \frac{P}{4}

So, the expression for the side length ss of the square in terms of its perimeter PP is:

s=P4s = \frac{P}{4}

Would you like more details or have any questions? Here are five related questions you might find interesting:

  1. How do you express the area of a square in terms of its perimeter?
  2. If the perimeter of a square is doubled, how does the side length change?
  3. What is the relationship between the side length and the diagonal of a square?
  4. How does the area of a square change if its side length is halved?
  5. How can you express the side length of a square in terms of its area?

Tip: When solving for a variable, isolate it by performing inverse operations on both sides of the equation.

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Math Problem Analysis

Mathematical Concepts

Geometry
Algebra

Formulas

Perimeter of a square: P = 4s
Side length formula: s = P/4

Theorems

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Suitable Grade Level

Grades 6-8