Add polynomials to find the perimeter

key notes:

1. Understanding Polynomials:
   • A polynomial is an algebraic expression consisting of variables and coefficients, combined using addition, subtraction, and multiplication, but not division by a variable.
2. Perimeter of Geometric Figures:
   • Perimeter is the total length of the boundary of a geometric figure.
   • For rectangles and squares, the perimeter is the sum of all four sides.
3. Expressing Perimeter with Polynomials:
   • Express the algebraic expressions representing the lengths of the sides of a geometric figure as polynomials.
   • For example, if the length of a rectangle is represented by 2�+32x+3 and the width by �+2x+2, the perimeter is the sum of all four sides: 2(2�+3)+2(�+2)2(2x+3)+2(x+2).
4. Combine Like Terms:
   • Combine like terms within the polynomial expression to simplify it.
   • In the example above, combine 2�2x and 2�2x to get 4�4x, and combine constants 33 and 22 to get 55.
5. Finding the Final Perimeter:
   • Once the polynomial expression is simplified, it represents the perimeter of the geometric figure in terms of the variable.
   • Substitute specific values for the variable to find the numerical value of the perimeter.
6. Examples:
   • Work through examples involving rectangles, squares, or other geometric shapes where the lengths of the sides are represented by polynomial expressions.
   • Practice combining like terms and finding the perimeter.
7. Word Problems:
   • Apply the concept to solve real-world word problems. For instance, find the perimeter of a rectangular garden given the algebraic expressions representing its dimensions.
8. Review:
   • Emphasize the importance of reviewing the steps: representing sides as polynomials, combining like terms, and simplifying to find the perimeter.
9. Extension:
   • Explore extending the concept to more complex shapes, such as irregular polygons, by breaking them into simpler shapes and applying the same principles.
10. Practice:
    • Provide ample opportunities for practice to reinforce the concept. Include a variety of shapes and expressions to ensure a comprehensive understanding.

Learn with an example

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