Based on your description, we can analyze the composite shape, which consists of a rectangle with a base of 6 centimeters and a triangle on top of this rectangle that has a height of 6 centimeters.
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Area of the Rectangle: The area of a rectangle is calculated using the formula: \[ \text{Area} = \text{Base} \times \text{Height} \] However, the height of the rectangle is not provided. It only states the height of the triangle. If we denote the height of the rectangle as \( h \), then the area of the rectangle would be: \[ A_{\text{rectangle}} = 6 \times h \]
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Area of the Triangle: The area of a triangle is calculated using the formula: \[ \text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height} \] The base of the triangle is the same as the base of the rectangle (6 centimeters), and its height is 6 centimeters. Therefore, the area of the triangle is: \[ A_{\text{triangle}} = \frac{1}{2} \times 6 \times 6 = \frac{1}{2} \times 36 = 18 \text{ square centimeters} \]
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Total Area of the Composite Shape: The total area of the composite shape is the sum of the areas of the rectangle and the triangle: \[ A_{\text{total}} = A_{\text{rectangle}} + A_{\text{triangle}} = (6 \times h) + 18 \]
In conclusion, to find a specific numerical value for the total area, we would need the height \( h \) of the rectangle.