Perimeter Figure 498196
1. **State the problem:** We need to find the perimeter of the shaded figure on the grid.
2. **Understand the shape:** The figure covers cells from (0,1) to (1,3) vertically, forming a 1-unit wide column 3 units tall, plus an additional block at (1,4) to (2,4).
3. **Recall perimeter definition:** The perimeter is the total length of the outer edges of the figure.
4. **Calculate vertical edges:**
- Left side runs from (0,1) to (0,4) covering 3 units vertically.
- Right side has two parts: from (1,1) to (1,3) (2 units) plus the block at (2,4) adding 1 unit vertically.
5. **Calculate horizontal edges:**
- Bottom edge from (0,1) to (1,1) is 1 unit.
- Top edges: from (0,3) to (1,3) is 1 unit plus from (1,4) to (2,4) is 1 unit.
6. **Count internal edges that do not contribute to perimeter:**
- The edge between (1,3) and (1,4) is internal and not counted.
7. **Sum all outer edges:**
- Left vertical: 3 units
- Right vertical: 2 + 1 = 3 units
- Bottom horizontal: 1 unit
- Top horizontal: 1 + 1 = 2 units
8. **Total perimeter:**
$$3 + 3 + 1 + 2 = 9$$ units
**Final answer:** The perimeter of the shaded figure is **9** units.