Final answer:
To find the length of the shorter side on the plan, use the scale of the drawing to set up a proportion between the longer side on the plan and the actual longer side of the room. Solve for x to find the length of the shorter side on the plan.
Step-by-step explanation:
To find the length of the shorter side on the plan, we can use the scale of the drawing. The longer side on the plan is 4 cm, and the actual longer side of the room is 6 m. The scale of the drawing is 1 cm - 2 m. Therefore, we can set up the proportion:
4 cm / 1 = x / 6 m
Solving for x, we find that x = 12 cm. So, the length of the shorter side on the plan is 12 cm.