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30 Geometry basics Questions and Answers

30 solved Geometry basics questions with step-by-step explanations. Includes formulas, shortcuts, and tips for placement tests and competitive exams.

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Advanced geometry basics questions for experienced learners. These medium-to-hard questions test deeper understanding and are ideal for those who have already mastered the basics. Each question includes a detailed explanation.

Key Formulas

Circle: Area = πr², Circumference = 2πr Triangle: Area = 1/2 × base × height Right triangle: a² + b² = c² (Pythagoras) Equilateral triangle: Area = (√3/4) × side² Rectangle: Area = l × w, Perimeter = 2(l + w) Square: Area = side², Perimeter = 4 × side

Q1 Medium

Find area of a triangle with base 10 cm and height 16 cm.

A. 76
B. 72
C. 80 ✓
D. 84

Explanation: Area = 1/2 x base x height = 1/2 x 10 x 16 = 80 sq cm.

Q2 Medium

Find area of a rectangle with length 20 cm and breadth 12 cm.

A. 234
B. 228
C. 246
D. 240 ✓

Explanation: Area = l x b = 20 x 12 = 240 sq cm.

Q3 Medium

Find area of a triangle with base 10 cm and height 15 cm.

A. 71
B. 67
C. 79
D. 75 ✓

Explanation: Area = 1/2 x base x height = 1/2 x 10 x 15 = 75 sq cm.

Q4 Medium

Find perimeter of a rectangle with length 9 cm and breadth 13 cm.

A. 34
B. 38
C. 50
D. 44 ✓

Explanation: Perimeter = 2(l+b) = 2(9+13) = 44 cm.

Q5 Medium

Find area of a rectangle with length 17 cm and breadth 10 cm.

A. 170 ✓
B. 176
C. 164
D. 158

Explanation: Area = l x b = 17 x 10 = 170 sq cm.

Q6 Medium

Find perimeter of a rectangle with length 22 cm and breadth 12 cm.

A. 68 ✓
B. 58
C. 74
D. 62

Explanation: Perimeter = 2(l+b) = 2(22+12) = 68 cm.

Q7 Medium

Find area of a triangle with base 19 cm and height 14 cm.

A. 129
B. 133 ✓
C. 137
D. 125

Explanation: Area = 1/2 x base x height = 1/2 x 19 x 14 = 133 sq cm.

Q8 Medium

Find area of a rectangle with length 20 cm and breadth 16 cm.

A. 320 ✓
B. 308
C. 314
D. 326

Explanation: Area = l x b = 20 x 16 = 320 sq cm.

Q9 Medium

Find area of a triangle with base 15 cm and height 12 cm.

A. 82
B. 94
C. 86
D. 90 ✓

Explanation: Area = 1/2 x base x height = 1/2 x 15 x 12 = 90 sq cm.

Q10 Medium

Find area of a rectangle with length 19 cm and breadth 5 cm.

A. 101
B. 95 ✓
C. 83
D. 89

Explanation: Area = l x b = 19 x 5 = 95 sq cm.

Q11 Medium

Find area of a triangle with base 20 cm and height 9 cm.

A. 90 ✓
B. 82
C. 86
D. 94

Explanation: Area = 1/2 x base x height = 1/2 x 20 x 9 = 90 sq cm.

Q12 Medium

Find area of a rectangle with length 20 cm and breadth 7 cm.

A. 140 ✓
B. 146
C. 134
D. 128

Explanation: Area = l x b = 20 x 7 = 140 sq cm.

Q13 Medium

Find perimeter of a rectangle with length 14 cm and breadth 7 cm.

A. 48
B. 36
C. 42 ✓
D. 32

Explanation: Perimeter = 2(l+b) = 2(14+7) = 42 cm.

Q14 Medium

Find area of a rectangle with length 12 cm and breadth 9 cm.

A. 114
B. 108 ✓
C. 102
D. 96

Explanation: Area = l x b = 12 x 9 = 108 sq cm.

Q15 Medium

Find perimeter of a rectangle with length 9 cm and breadth 6 cm.

A. 24
B. 30 ✓
C. 36
D. 20

Explanation: Perimeter = 2(l+b) = 2(9+6) = 30 cm.

Q16 Medium

Find area of a rectangle with length 22 cm and breadth 9 cm.

A. 192
B. 186
C. 204
D. 198 ✓

Explanation: Area = l x b = 22 x 9 = 198 sq cm.

Q17 Medium

Find area of a triangle with base 8 cm and height 14 cm.

A. 52
B. 56 ✓
C. 60
D. 48

Explanation: Area = 1/2 x base x height = 1/2 x 8 x 14 = 56 sq cm.

Q18 Medium

Find perimeter of a rectangle with length 12 cm and breadth 14 cm.

A. 42
B. 52 ✓
C. 46
D. 58

Explanation: Perimeter = 2(l+b) = 2(12+14) = 52 cm.

Q19 Medium

Find area of a rectangle with length 11 cm and breadth 13 cm.

A. 131
B. 149
C. 143 ✓
D. 137

Explanation: Area = l x b = 11 x 13 = 143 sq cm.

Q20 Medium

Find perimeter of a rectangle with length 14 cm and breadth 5 cm.

A. 32
B. 44
C. 38 ✓
D. 28

Explanation: Perimeter = 2(l+b) = 2(14+5) = 38 cm.

Q21 Medium

Find area of a triangle with base 20 cm and height 16 cm.

A. 152
B. 164
C. 156
D. 160 ✓

Explanation: Area = 1/2 x base x height = 1/2 x 20 x 16 = 160 sq cm.

Q22 Medium

Find perimeter of a rectangle with length 17 cm and breadth 6 cm.

A. 46 ✓
B. 40
C. 52
D. 36

Explanation: Perimeter = 2(l+b) = 2(17+6) = 46 cm.

Q23 Medium

Find area of a rectangle with length 15 cm and breadth 15 cm.

A. 225 ✓
B. 213
C. 219
D. 231

Explanation: Area = l x b = 15 x 15 = 225 sq cm.

Q24 Medium

Find perimeter of a rectangle with length 14 cm and breadth 15 cm.

A. 58 ✓
B. 52
C. 48
D. 64

Explanation: Perimeter = 2(l+b) = 2(14+15) = 58 cm.

Q25 Medium

Find area of a rectangle with length 18 cm and breadth 13 cm.

A. 228
B. 234 ✓
C. 222
D. 240

Explanation: Area = l x b = 18 x 13 = 234 sq cm.

Q26 Medium

Find area of a triangle with base 10 cm and height 7 cm.

A. 31
B. 35 ✓
C. 27
D. 39

Explanation: Area = 1/2 x base x height = 1/2 x 10 x 7 = 35 sq cm.

Q27 Medium

Find perimeter of a rectangle with length 21 cm and breadth 5 cm.

A. 52 ✓
B. 58
C. 46
D. 42

Explanation: Perimeter = 2(l+b) = 2(21+5) = 52 cm.

Q28 Medium

Find area of a triangle with base 10 cm and height 11 cm.

A. 55 ✓
B. 47
C. 51
D. 59

Explanation: Area = 1/2 x base x height = 1/2 x 10 x 11 = 55 sq cm.

Q29 Medium

Find perimeter of a rectangle with length 11 cm and breadth 16 cm.

A. 54 ✓
B. 48
C. 60
D. 44

Explanation: Perimeter = 2(l+b) = 2(11+16) = 54 cm.

Q30 Medium

Find area of a rectangle with length 10 cm and breadth 15 cm.

A. 156
B. 150 ✓
C. 144
D. 138

Explanation: Area = l x b = 10 x 15 = 150 sq cm.

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