Rectangle Length 14Ee34
1. **State the problem:** We have a rectangle with a perimeter of 44 cm. The length ($L$) is 6 cm more than the width ($W$). We need to find the length.
2. **Formula for perimeter of a rectangle:**
$$P = 2(L + W)$$
where $P$ is the perimeter, $L$ is the length, and $W$ is the width.
3. **Express length in terms of width:**
$$L = W + 6$$
4. **Substitute into the perimeter formula:**
$$44 = 2((W + 6) + W)$$
5. **Simplify inside the parentheses:**
$$44 = 2(2W + 6)$$
6. **Distribute the 2:**
$$44 = 4W + 12$$
7. **Isolate $W$:**
$$44 - 12 = 4W$$
$$32 = 4W$$
8. **Solve for $W$:**
$$W = \frac{32}{4} = 8$$
9. **Find $L$ using $L = W + 6$:**
$$L = 8 + 6 = 14$$
10. **Check the perimeter:**
$$2(14 + 8) = 2(22) = 44$$ which matches the given perimeter.
**Final answer:** The length is 14 cm.
Note: The options given do not include 14 cm, so the correct length based on the problem is 14 cm, which is not listed.