Area of two adjacent walls (no doors/windows) — which statements suffice? I. Floor area (L * B) of the hall is 24 m^2. II. Breadth : Length : Height = 4 : 6 : 5. III. Area of one wall is 30 m^2.

Introduction / Context:
The original wording asked for “cost” but no painting rate was provided. Under the Recovery-First Policy, we minimally repair the stem to ask for the area of two adjacent walls (sum of areas), which is uniquely determinable from geometric data alone.

Given Data / Assumptions:

• I: Floor area L * B = 24 m^2.
• II: B : L : H = 4 : 6 : 5 ⇒ Let (B, L, H) = (4k, 6k, 5k).
• III: Area of one wall (unspecified which) = 30 m^2.

Concept / Approach:
Area of two adjacent walls = L * H + B * H = H * (L + B). Using I and II, the scale k can be solved, yielding exact dimensions and therefore the desired area.

Step-by-Step Solution:

Verification / Alternative check:
Statement III alone gives only one wall’s area and does not determine the other without additional dimensions.

Why Other Options Are Wrong:

• Only II: Lacks scale; k is unknown.
• Only III: Insufficient to deduce the second wall’s area.
• Either I or III: Neither alone suffices.
• Only I and III: Still missing H or the other dimension to fully determine the second wall.

Common Pitfalls:
Assuming floor area alone fixes height; it does not without proportions.

Final Answer:
Only I and II