Subjects geometry

Rectangle Areas

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

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.