Answer:
The three possible scales for the drawing are 1 inch : 3 feet, 1 inch : 36 inch and 1 inch : 91.44 cm.
Step-by-step explanation:
It is given that the length of a table is 6 feet. On a scale drawing, the length is 2 inches.
The scale for drawing is
![Scale=\frac{\text{Length in drawing}}{\text{Actual length}}=\text{Length in drawing}:\text{Actual length}](https://tex.z-dn.net/?f=Scale%3D%5Cfrac%7B%5Ctext%7BLength%20in%20drawing%7D%7D%7B%5Ctext%7BActual%20length%7D%7D%3D%5Ctext%7BLength%20in%20drawing%7D%3A%5Ctext%7BActual%20length%7D)
First possible scale for the drawing is
2 inch : 6 feet
It can be written as
1 inch : 3 feet
We know that 1 feet = 12 in
1 inch : 36 inch
We know that 1 feet = 30.48 cm
1 inch : 91.44 cm
Therefore the three possible scales for the drawing are 1 inch : 3 feet, 1 inch : 36 inch and 1 inch : 91.44 cm.