Data Sufficiency — Area of a Rectangular Plot What is the area of the rectangular plot? I. The length of the plot is 375 m. II. The length of the plot is thrice its breadth.

Introduction / Context:
We must evaluate whether we can uniquely compute the area of a rectangle from the given statements. The area requires both length and breadth.

Given Data / Assumptions:

• Statement I: Length L = 375 m.
• Statement II: L = 3 * B (i.e., length is thrice breadth).

Concept / Approach:
Area A = L * B. Knowing only L (from I) or only the ratio L:B (from II) is not enough. Combined, they yield both dimensions.

Step-by-Step Solution:

Verification / Alternative check:
Neither statement alone can fix the area: I lacks B; II lacks numerical scale. Together they are sufficient.

Why Other Options Are Wrong:

• I alone sufficient: Wrong — breadth unknown.
• II alone sufficient: Wrong — only ratio known.
• Either alone sufficient: Wrong — each alone fails.
• Even both not sufficient: Wrong — both together fully determine A.

Common Pitfalls:
Assuming a default breadth or treating a ratio as if it fixes absolute dimensions. Ratios require at least one absolute measure.

Final Answer:
Both statements together are sufficient; neither alone is sufficient.