Algebraic perimeter and area involve finding the perimeter (the distance around a shape) and the area (the space inside a shape) when the sides are represented by algebraic expressions. This usually means the side lengths include variables, like 'x' or 'y'. You'll need to use your algebra skills to simplify expressions and solve for unknown side lengths or the total perimeter/area. Remember that perimeter is found by adding up all the sides, and area depends on the specific shape (e.g., $A = l \times w$ for a rectangle).
Match the term with its correct definition:
| Term | Definition |
|---|---|
| 1. Perimeter | A. The space enclosed within a 2D shape. |
| 2. Area | B. A letter representing an unknown number. |
| 3. Variable | C. The distance around a 2D shape. |
| 4. Expression | D. A mathematical phrase containing numbers, variables, and operations. |
| 5. Coefficient | E. A number multiplied by a variable. |
Answers: 1-C, 2-A, 3-B, 4-D, 5-E
Complete the paragraph using the words: area, perimeter, expression, rectangle, side.
To find the __________ of a __________ with length $3x + 2$ and width $x + 1$, you would add up all the __________. The __________ is found by multiplying the length and width. Remember to simplify your __________.
Answer: perimeter, rectangle, side, area, expression
Explain how you would find the perimeter of a square if one side is represented by the expression $2x + 3$.
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