Write an algebraic equation for the perimeter of a rectangle with an unknown width and a length of 7 cm. (Use P for perimeter and w for width.)

The algebraic equation for the perimeter \( P \) of a rectangle with an unknown width \( w \) and a length of 7 cm is:

\[
P = 2(w + 7)
\]

Would you like more details or have any questions? Here are some related questions:

1. How would you find the width if the perimeter is known?
2. What is the formula for the area of this rectangle?
3. How would the equation change if the length were unknown instead?
4. What happens to the perimeter if the width is doubled?
5. Can the width be negative? Why or why not?

**Tip:** When working with perimeter formulas, remember that it involves adding up all the sides of the shape.

Discover how to write an algebraic equation for the perimeter of a rectangle with an unknown width and a fixed length of 7 cm. This problem covers fundamental algebra and geometry concepts, suitable for students in Grades 6-8.

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