To find the actual area of the room based on the scale drawing, we first need to determine the dimensions of the room in actual measurements. However, the scale factor (i.e., how many inches on the drawing correspond to a certain number of feet or inches in reality) is not provided.
Assuming you have a scale factor (for example, let's say 1 inch on the drawing represents 2 feet in real life), you can calculate the actual dimensions and then find the area.
If the scale factor is 1 inch = 2 feet:
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Length in actual feet:
- \( 7.5 , \text{inches} \times 2 , \text{feet/inch} = 15 , \text{feet} \)
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Width in actual feet:
- \( 5 , \text{inches} \times 2 , \text{feet/inch} = 10 , \text{feet} \)
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Calculate the actual area:
- Area = Length × Width = \( 15 , \text{feet} \times 10 , \text{feet} = 150 , \text{square feet} \)
If the scale factor is different, substitute accordingly:
Using your specific scale factor, you can determine the actual dimensions and then use the same area formula.
Please let me know if you have a specific scale factor so I can assist you further!
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