To find the area of the H-shaped polygon, we can divide the shape into simpler components (rectangles, in this case).
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Understanding the Dimensions: The H shape has the following dimensions indicated:
- Width of the vertical bars: 12 units
- Width of the horizontal bars: 6 units
- Height of the horizontal components of the H: 5 units each
- Height of the vertical bars: 3 units each
- Distance between the horizontal components (height of the middle connection): 3 units
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Calculating Areas:
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Two Vertical Bars:
- Each vertical bar has a width of 6 units and a height of 12 units.
- Area of one vertical bar = width × height = 6 × 12 = 72 square units.
- Area of two vertical bars = 72 × 2 = 144 square units.
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Horizontal Bars:
- The horizontal bars are on the top and bottom, each 12 units wide and 5 units high.
- Area of one horizontal bar = width × height = 12 × 5 = 60 square units.
- Area of two horizontal bars = 60 × 2 = 120 square units.
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Subtracting the Middle Part:
- The middle part (the gap in the center connecting the two verticals) needs to be subtracted. The dimensions depend on how this is constructed.
- Each vertical bar has a gap of 3 units.
- The height of that middle part, if it is simply the gap between bars, can just be represented as 3.
- Area of that middle "gap" section = width × height = 6 (because it's for only one gap section) × 3.
- Area of the gap = 6 × 3 = 18 square units.
Putting it together:
- Total area of vertical bars + top horizontal bar + bottom horizontal bar - gap
- Area = 144 + 60 + 60 - 18 = 246 square units.
However, by looking at it visually and summing areas logically or sketching, we would try to obtain exact areas depicted.
Please provide further dimensions or graphical representations for reconciliation to refine the area calculation specifically for the H shape you allude.