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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 721 · 40 questions
TalentJR

How to solve it (Round or inside?): Rectangle: perimeter = 2 × (length + width); area = length × width. Square: perimeter = 4 × side; area = side × side. From the perimeter, side = perimeter ÷ 4. Missing side: width = area ÷ length.

NameDateTime takenScore ___ / 40
  1. 1.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 72 cm (b) 34 cm (c) 26 cm (d) 17 cm
  2. 2.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 91 cm (b) 40 cm (c) 33 cm (d) 20 cm
  3. 3.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 8 sq cm (c) 18 sq cm (d) 16 sq cm
  4. 4.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 10 cm (c) 20 cm (d) 11 cm
  5. 5.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 96 sq cm (b) 20 sq cm (c) 40 sq cm (d) 108 sq cm
  6. 6.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  7. 7.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 16 cm (c) 112 cm (d) 8 cm
  8. 8.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 34 sq cm (c) 72 sq cm (d) 17 sq cm
  9. 9.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 16 cm (c) 8 cm (d) 12 cm
  10. 10.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 40 cm (d) 102 cm
  11. 11.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 36 cm (c) 18 cm (d) 45 cm
  12. 12.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 25 sq cm (d) 10 sq cm
  13. 13.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 27 cm (b) 152 cm (c) 54 cm (d) 46 cm
  14. 14.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 90 sq cm (c) 20 sq cm (d) 75 sq cm
  15. 15.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 200 sq cm (b) 29 sq cm (c) 58 sq cm (d) 180 sq cm
  16. 16.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 5 cm (c) 57 cm (d) 4 cm
  17. 17.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 13 cm (c) 12 cm (d) 24 cm
  18. 18.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm
  19. 19.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 44 cm (c) 80 cm (d) 24 cm
  20. 20.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 24 sq cm (c) 18 sq cm (d) 9 sq cm
  21. 21.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 13 cm (c) 24 cm (d) 12 cm
  22. 22.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 2 cm (b) 19 cm (c) 4 cm (d) 3 cm
  23. 23.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 49 cm (c) 180 cm (d) 58 cm
  24. 24.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 169 sq cm (d) 196 sq cm
  25. 25.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 24 cm (c) 30 cm (d) 15 cm
  26. 26.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 95 sq cm (b) 76 sq cm (c) 46 sq cm (d) 23 sq cm
  27. 27.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 9 cm (c) 104 cm (d) 18 cm
  28. 28.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 15 sq cm (b) 48 sq cm (c) 36 sq cm (d) 30 sq cm
  29. 29.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
  30. 30.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 58 sq cm (b) 221 sq cm (c) 29 sq cm (d) 204 sq cm
  31. 31.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 28 cm (c) 14 cm (d) 23 cm
  32. 32.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 39 sq cm (d) 26 sq cm
  33. 33.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 28 sq cm (c) 35 sq cm (d) 22 sq cm
  34. 34.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 16 cm (b) 27 cm (c) 32 cm (d) 55 cm
  35. 35.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 9 cm (c) 18 cm (d) 15 cm
  36. 36.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 12 cm (c) 13 cm (d) 24 cm
  37. 37.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 36 sq cm (d) 100 sq cm
  38. 38.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 60 sq cm (b) 209 sq cm (c) 30 sq cm (d) 228 sq cm
  39. 39.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 44 cm (c) 42 cm (d) 22 cm
  40. 40.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 140 cm (c) 54 cm (d) 47 cm

Answer key

  1. 34 cm
  2. 40 cm
  3. 12 sq cm
  4. 10 cm
  5. 96 sq cm
  6. 49 sq cm
  7. 8 cm
  8. 60 sq cm
  9. 16 cm
  10. 46 cm
  11. 36 cm
  12. 25 sq cm
  13. 54 cm
  14. 75 sq cm
  15. 180 sq cm
  16. 4 cm
  17. 12 cm
  18. 121 sq cm
  19. 48 cm
  20. 18 sq cm
  21. 12 cm
  22. 2 cm
  23. 58 cm
  24. 169 sq cm
  25. 30 cm
  26. 76 sq cm
  27. 9 cm
  28. 36 sq cm
  29. 225 sq cm
  30. 204 sq cm
  31. 28 cm
  32. 26 sq cm
  33. 28 sq cm
  34. 32 cm
  35. 18 cm
  36. 12 cm
  37. 81 sq cm
  38. 209 sq cm
  39. 44 cm
  40. 54 cm

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