If the scale factor is 2.5” = 3 ft, what is the area of the room in the real world?
What is the area or dimensions of the room in the drawing?
we do not know what the dimensions were on the plans, or alternately the area.
If you know the area on the plan, A in^2 then
Areal = A (9 ft^2/6.25 in^2)
the area of the real world room is
(36 / 2.5)² times the area of the plan
To determine the area of the room in the real world, we need to know the dimensions of the room in the given scale. In this case, we have a scale of 2.5" = 3 ft.
First, let's assume the length of the room in the given scale is L inches. To convert it to feet in the real world, we can multiply L by the conversion factor: 3 ft / 2.5".
Similarly, let's assume the width of the room in the given scale is W inches. We can convert it to feet in the real world by multiplying W by the conversion factor.
Once we have the dimensions of the room in feet, we can find the area by multiplying the length (in feet) by the width (in feet).
So, to calculate the area of the room in the real world, follow these steps:
1. Convert the given room length from inches to feet using the scale factor (multiply by 3 ft / 2.5").
2. Convert the given room width from inches to feet using the scale factor (multiply by 3 ft / 2.5").
3. Multiply the converted length by the converted width to find the area of the room in square feet.
Note: Make sure to use the same conversion factor consistently throughout the calculation to maintain accuracy.