To calculate the square yardage of the roof of the building based on the graph you described, we need to determine the dimensions of the shaded area, which represents the footprint of the building.
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Understanding the grid: Since each division on the x and y axis represents a distance of 2 yards, we first measure the length and width of the shaded area in grid units.
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Measuring the dimensions: Count the number of divisions for both the length and the width of the shaded area. Assume you find that the shaded area extends 5 divisions in length and 4 divisions in width.
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Calculating dimensions in yards:
- Length = Number of divisions (length) × 2 yards per division = 5 × 2 = 10 yards.
- Width = Number of divisions (width) × 2 yards per division = 4 × 2 = 8 yards.
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Calculating area: The area \( A \) of the rectangle (roof of the building) can be calculated using the formula for the area of a rectangle: \[ A = \text{Length} \times \text{Width} \] \[ A = 10 , \text{yards} \times 8 , \text{yards} = 80 , \text{square yards}. \]
Thus, assuming those dimensions are correct, the square yardage of the roof of the building is \( 80 , \text{square yards} \).
If the dimensions differ, simply follow the same steps with the actual measurements you obtain from the graph.