What is the total cost of flooring a rectangular hall? I. Perimeter of the hall = 76 m. II. Area of the hall = 336 m^2. III. Flooring cost = $550 per m^2.

Introduction / Context:
The total flooring cost equals (area in m^2) * (rate per m^2). Thus, to compute the total cost as a number, we need the area and the unit rate. Perimeter data is irrelevant unless it helps derive area, which it does not here without more side information.

Given Data / Assumptions:

• I: Perimeter = 76 m.
• II: Area = 336 m^2.
• III: Rate = $550 per m^2.

Concept / Approach:
Cost = Area * Rate. Sufficiency means identifying the minimal set of statements that provide both quantities.

Step-by-Step Solution:
Using II + III: Cost = 336 * 550, a unique numeric value ⇒ sufficient.Using I + III: We have the rate but not the area; perimeter alone does not fix area (many length–breadth pairs share the same perimeter), so insufficient.Using I + II: We have the area but no rate; cannot compute monetary total ⇒ insufficient.

Why Other Options Are Wrong:
“Any two” is false since (I, II) and (I, III) fail. “All I, II, III” is overkill; (II, III) already suffice.

Common Pitfalls:
Assuming a rectangle’s perimeter fixes its area; it does not without at least one side.

Final Answer:
Statements II and III only.