1. **Problem statement:** Find the total area of each rectangle given the areas of smaller rectangles inside and the lengths of portions of the sides.
2. **Rectangle a:**
- The rectangle is divided into smaller rectangles with areas 44, 39, and 36.5, and side lengths 11, 4, and 3.5.
- The total area is the sum of the areas of all smaller rectangles inside.
3. **Calculate total area for rectangle a:**
$$\text{Total Area}_a = 44 + 39 + 36.5 = 119.5$$
4. **Rectangle b:**
- The rectangle is divided into smaller rectangles with areas 40, 30, and 18, and side lengths 5, 8, and 6.
- The total area is the sum of the areas of all smaller rectangles inside.
5. **Calculate total area for rectangle b:**
$$\text{Total Area}_b = 40 + 30 + 18 = 88$$
**Final answers:**
- Total area of rectangle a is $119.5$.
- Total area of rectangle b is $88$.
These totals come from adding the areas of the smaller rectangles that make up each larger rectangle.
Rectangle Areas
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