a floor plan has been prepared for a new building, drawn to a scale of 1/2 inch = 1 foot. A certain area is drawn to a scale of 1 foot long and 7 1/2 wide on the floor plan. the actual dimensions of theis areas in the building are?
Scale: 1/2 in = 1Ft. = 12 in
Ratio = (1/2)in/12in = 1/24
L = 24 * 1Ft = 24 Ft.
W = 24 * (7.5/12)Ft = 15 Ft.
Note: I assumed you mean 7 1/2 in wide.
To find the actual dimensions of the area drawn at a scale of 1 foot long and 7 1/2 wide on the floor plan, you need to convert the scale ratio into actual measurements.
Given that the scale of the floor plan is 1/2 inch = 1 foot, you can calculate the conversion factor by dividing the length of the drawing scale by the length of the actual scale:
1 foot (actual scale) / 1/2 inch (drawing scale)
Next, you'll want to convert the width of the drawing at the given scale of 7 1/2 inches to its actual dimension.
Multiply the width of the drawing (7 1/2 inches) by the conversion factor you calculated.
So, the actual dimensions of the area in the building would be:
Length: 1 foot x (1 foot / 1/2 inch) = 2 feet
Width: 7 1/2 inches x (1 foot / 1/2 inch) = 15 feet
Therefore, the actual dimensions of the area in the building are 2 feet long and 15 feet wide.