Difficulty: Medium
Correct Answer: Only I and II
Explanation:
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:
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:
From II, set B = 4k, L = 6k, H = 5k.From I: L * B = (6k)*(4k) = 24k^2 = 24 ⇒ k = 1 m.Thus B = 4 m, L = 6 m, H = 5 m.Sum of adjacent wall areas = L*H + B*H = 6*5 + 4*5 = 50 m^2.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:
Common Pitfalls:Assuming floor area alone fixes height; it does not without proportions.
Final Answer:Only I and II
Discussion & Comments