To calculate the missing dimension in the diagram of the house, we need to have the necessary information regarding the dimensions that are already given. Since there are no numerical values provided in the question and I cannot see diagrams, I'll demonstrate the general steps to calculate a missing dimension if you have a specific roof shape, for example, a triangular or a rectangular roof.
For a triangular roof:
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Identify Dimensions:
- Let's say the base of the triangular roof is \( b \) and the height is \( h \).
- The area of a triangle is given by the formula: \[ \text{Area} = \frac{1}{2} \times b \times h \]
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Calculate Missing Dimension: If you're given the area and one dimension, you can rearrange the formula to solve for the missing height or base.
For example, if the area is given as \( A \): \[ A = \frac{1}{2} \times b \times h \implies h = \frac{2A}{b} \]
For a rectangular roof:
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Identify Dimensions:
- For a rectangular roof, if you know one dimension (length \( l \) or width \( w \)) and the area \( A \), you can find the missing dimension.
- The area of a rectangle is given by: \[ A = l \times w \]
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Calculate Missing Dimension: If you know the area and one of the dimensions: \[ w = \frac{A}{l} \text{ or } l = \frac{A}{w} \]
Example Calculation:
If the area of the roof is 250 square feet and the width of the roof is known to be 10 feet, we can find the length as follows:
\[ A = l \times w \implies 250 = l \times 10 \implies l = \frac{250}{10} = 25 \text{ feet} \]
Conclusion
To calculate the missing dimension accurately, please provide the specific values from the diagram, and I'll assist you with the calculations.