Parallelogram area via base and corresponding height: One side (base) of a parallelogram is 14 cm, and its perpendicular distance to the opposite side is 16 cm. Find the area.

Aptitude Area Difficulty: Easy
Choose an option
  • A
    112 sq. cm
  • B
    224 sq. cm
  • C
    56π sq. cm
  • D
    210 sq. cm
  • E
    None of these

Answer

Correct Answer: 224 sq. cm

Explanation

Introduction / Context:Area of a parallelogram equals base times the corresponding height. No angle computation is needed when height is provided.

Given Data / Assumptions:

  • Base = 14 cm
  • Height = 16 cm

Concept / Approach:Area A = base * height.

Step-by-Step Solution:A = 14 * 16 = 224 sq. cm

Verification / Alternative check:No other data needed; formula is direct.

Why Other Options Are Wrong:112 halves the product; 210 is unrelated; 56π is circular sector–like and irrelevant.

Common Pitfalls:Using slanted side instead of perpendicular height.

Final Answer:224 sq. cm

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