It seems like your message was incomplete with missing values where you indicated "blank." To help you, I'll outline how you can work with area calculations for triangles and rectangles.
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Triangle Areas:
- The area of a triangle can be calculated with the formula: \[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
- If you have the areas of the green and purple triangles, you can substitute those values into the equation.
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Combining Triangles:
- When you place the orange triangle (with specific dimensions yet to be defined) next to the green triangle, they will create a rectangle.
- The area of the rectangle, formed by the combined base of the triangles and the common height, can be calculated using: \[ \text{Area} = \text{base} \times \text{height} \]
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Area Relationship:
- If you want to state the area of the rectangle in relation to the area of the green triangle, you might say: \[ \text{Area of the rectangle} = k \times \text{Area of the green triangle} \]
- Here, \( k \) would be a factor that represents how the two areas relate to one another (e.g., the area of the rectangle might be double the area of the green triangle if the orange triangle has the same area as the green triangle, making \( k = 2 \)).
If you provide the areas of the triangles, I can help you fill in the blanks accurately!