1. **Problem Statement:** We have two similar triangles, JKL and MNO. We know sides LK = 5, KJ = 2 in triangle JKL, and side ON = 16 in triangle MNO. We need to find the length of side MN. 2. **Formula and Concept:** For similar triangles, corresponding sides are proportional. This means: $$\frac{LK}{ON} = \frac{KJ}{MN}$$ 3. **Identify Corresponding Sides:** Since triangles are similar and vertices correspond as J to M, K to N, and L to O, side LK corresponds to ON, and side KJ corresponds to MN. 4. **Set up the proportion:** $$\frac{5}{16} = \frac{2}{x}$$ 5. **Solve for $x$ (which is MN):** Cross multiply: $$5 \times x = 16 \times 2$$ $$5x = 32$$ Divide both sides by 5: $$x = \frac{32}{5} = 6.4$$ 6. **Answer:** The length of side MN is $6.4$ units. This means side MN is approximately 6.4 when rounded to the nearest tenth.