To find the area of the composite figure described, we first identify the components of the figure:
- Bottom Base Rectangle: Dimensions of \(7 , \text{mi}\) (bottom base) and \(6 , \text{mi}\) (height).
- Left Tower: This could be interpreted as a rectangle with a height of \(3 , \text{mi}\) and a width of \(1 , \text{mi}\).
- Right Tower: This is also described as having a height of \(1 , \text{mi}\) and a width of \(1 , \text{mi}\).
Let’s break down the area calculations for each distinct part.
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Area of Bottom Base Rectangle: \[ \text{Area} = \text{width} \times \text{height} = 7 , \text{mi} \times 6 , \text{mi} = 42 , \text{square miles} \]
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Area of Left Tower: \[ \text{Area} = \text{width} \times \text{height} = 1 , \text{mi} \times 3 , \text{mi} = 3 , \text{square miles} \]
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Area of Right Tower: \[ \text{Area} = \text{width} \times \text{height} = 1 , \text{mi} \times 1 , \text{mi} = 1 , \text{square mile} \]
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Total Area of the Composite Figure: \[ \text{Total Area} = \text{Area of Bottom Base} + \text{Area of Left Tower} + \text{Area of Right Tower} \] \[ = 42 , \text{square miles} + 3 , \text{square miles} + 1 , \text{square mile} = 46 , \text{square miles} \]
Given the available answers (21, 25, 31, and 28 square miles), none of them match the calculated total area of 46 square miles.
Could you clarify if the dimensions provided fully describe the composite figure or provide additional constraints?