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 , you can use the following steps:
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The formula for the perimeter of a square is given by: where is the side length of the square.
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To find the side length , solve for by dividing both sides of the equation by 4:
So, the expression for the side length of the square in terms of its perimeter is:
Would you like more details or have any questions? Here are five related questions you might find interesting:
- How do you express the area of a square in terms of its perimeter?
- If the perimeter of a square is doubled, how does the side length change?
- What is the relationship between the side length and the diagonal of a square?
- How does the area of a square change if its side length is halved?
- 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
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