To determine the square footage of the roof of the building based on the graph you described, we need to find the dimensions of the shaded area (the building's footprint) indicated on the graph.
Since each division on the x and y axis represents a distance of 2 yards, we can calculate the area of the shaded region as follows:
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Identify Coordinates: First, identify the coordinates of the vertices of the shaded region. This will allow you to understand the shape of the building's footprint.
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Calculate Area in Square Yards: Depending on the shape (whether it's a rectangle, triangle, or more complex polygon), use the appropriate formula to calculate the area. Here are common formulas:
- Rectangle Area: Length × Width
- Triangle Area: (Base × Height) / 2
- Polygon Area: You can use the shoelace formula or divide the shape into known shapes (like rectangles and triangles) and calculate the total area.
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Convert to Square Feet: Since the area you find will be in square yards and you need it in square feet, you can convert it using the fact that 1 square yard = 9 square feet.
\[ \text{Area in square feet} = \text{Area in square yards} \times 9 \]
Without the specific coordinates or dimensions from the graph, I can't give you an exact numerical answer. You will need to follow these steps with the information from the graph to determine the square footage of the roof of the building. If you have the coordinates, feel free to share them, and I can help calculate the area!