1. **Problem:** Given a parallelogram with sides labeled $k+4$, $8$, $m$, and $11$, solve for the variables $k$ and $m$. 2. **Formula and rules:** In a parallelogram, opposite sides are equal in length. Therefore, we have: $$k + 4 = 11$$ $$m = 8$$ 3. **Solve for $k$:** $$k + 4 = 11$$ Subtract 4 from both sides: $$k + \cancel{4} - \cancel{4} = 11 - 4$$ $$k = 7$$ 4. **Solve for $m$:** Since opposite sides are equal: $$m = 8$$ **Final answers:** $$k = 7, \quad m = 8$$