1. The problem is to find the area equations for common 2D shapes. 2. The area of a shape is the amount of space inside its boundary. 3. Here are formulas for some common 2D shapes: - Rectangle: $$\text{Area} = \text{length} \times \text{width}$$ - Square: $$\text{Area} = \text{side}^2$$ - Triangle: $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$ - Circle: $$\text{Area} = \pi \times \text{radius}^2$$ - Parallelogram: $$\text{Area} = \text{base} \times \text{height}$$ - Trapezoid: $$\text{Area} = \frac{1}{2} \times (\text{base}_1 + \text{base}_2) \times \text{height}$$ 4. These formulas are used by substituting the known lengths into the equations. 5. For example, to find the area of a rectangle with length 5 and width 3, calculate $$5 \times 3 = 15$$. 6. Remember, all lengths must be in the same units to get the correct area units (e.g., square meters).