To find the perimeter of a rectangle, you use the formula:

$P = 2 \times (\text{Length} + \text{Width})$

Given that:

• Width $= 8u - 4$ cm
• Length $= 8u - 2$ cm

Substitute the given expressions into the perimeter formula:

$P = 2 \times \left( (8u - 4) + (8u - 2) \right)$

Simplify inside the parentheses:

$P = 2 \times \left( 8u - 4 + 8u - 2 \right)$ $P = 2 \times (16u - 6)$

Now, distribute the 2:

$P = 2 \times 16u - 2 \times 6$ $P = 32u - 12$

Thus, the expression representing the perimeter of the rectangle is:

$P = 32u - 12 \, \text{cm}$

Would you like a detailed explanation of any step?

Here are 5 related questions you can explore:

1. How do you calculate the area of the same rectangle?
2. How does changing the value of $u$ affect the perimeter?
3. What is the perimeter when $u = 3$?
4. How does the formula for the perimeter differ from the formula for the area of a rectangle?
5. What are some applications of perimeter calculations in real life?

Tip: When simplifying algebraic expressions, always combine like terms before applying distributive properties to make calculations easier.