Final answer:
The scale of the plane drawing is 1:25, meaning that 1cm on the drawing represents 25cm in actual length.
Step-by-step explanation:
The scale of the drawing can be determined by setting up a proportion between the length of the actual piece and the length of the segment in the drawing. Given that the actual length of the piece is 100cm and it is represented by a 4cm segment in the drawing, the proportion can be set up as follows:
100cm / 4cm = 1 / x
Cross multiplying, we get:
100cm * x = 4cm
x = 4cm / 100cm
x = 0.04
The scale of the drawing is 1:25, which means that 1cm in the drawing represents 25cm in actual length.