Area

PART-B Unit I: Aptitude

PART-B • Unit I: Aptitude & Mental Ability

Topic: Area (பரப்பளவு) • 15 Model Questions

Systematically arranged from Easy to Complex with Step-by-Step Mathematical Explanations and LaTeX Formulas

Level 1: Direct 2D Geometric Formulas

Easy
Question 01 Rhombus Area from Diagonals
The area of a rhombus whose diagonals are \(10\text{ cm}\) and \(12\text{ cm}\) is:
மூலைவிட்டங்கள் \(10\text{ செ.மீ}\) மற்றும் \(12\text{ செ.மீ}\) அளவு கொண்ட சாய்சதுரத்தின் பரப்பளவு காண்க:
(A) \(120\text{ cm}^2\)
(B) \(60\text{ cm}^2\)  ✓
(C) \(30\text{ cm}^2\)
(D) \(22\text{ cm}^2\)
💡 Explanation:
  • Formula: The area of a rhombus with diagonals \(d_1\) and \(d_2\) is: \[\text{Area} = \frac{1}{2} \times d_1 \times d_2\]
  • Given: \(d_1 = 10\text{ cm}\), \(d_2 = 12\text{ cm}\)
  • Calculation: \[\text{Area} = \frac{1}{2} \times 10 \times 12 = 5 \times 12 = \mathbf{60\text{

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