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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 149 · 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 has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 15 cm
  2. 2.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 17 cm (c) 20 cm (d) 10 cm
  3. 3.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 38 cm (c) 40 cm (d) 36 cm
  4. 4.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 12 cm (c) 14 cm (d) 16 cm
  5. 5.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 32 sq cm (d) 81 sq cm
  6. 6.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 70 cm (c) 33 cm (d) 38 cm
  7. 7.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 36 sq cm (c) 48 sq cm (d) 18 sq cm
  8. 8.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 126 cm (b) 43 cm (c) 50 cm (d) 25 cm
  9. 9.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 13 cm (c) 30 cm (d) 26 cm
  10. 10.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
  11. 11.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 171 sq cm (b) 54 sq cm (c) 27 sq cm (d) 152 sq cm
  12. 12.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 48 cm (c) 28 cm (d) 22 cm
  13. 13.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 54 sq cm (b) 21 sq cm (c) 72 sq cm (d) 42 sq cm
  14. 14.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 153 sq cm (d) 136 sq cm
  15. 15.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 84 sq cm (b) 70 sq cm (c) 19 sq cm (d) 38 sq cm
  16. 16.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 2 cm
  17. 17.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 22 sq cm (d) 44 sq cm
  18. 18.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 49 sq cm (d) 14 sq cm
  19. 19.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 58 cm (b) 190 cm (c) 29 cm (d) 48 cm
  20. 20.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 2 cm (c) 4 cm (d) 3 cm
  21. 21.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 10 cm (b) 32 cm (c) 5 cm (d) 6 cm
  22. 22.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 30 sq cm (d) 60 sq cm
  23. 23.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 119 sq cm (b) 23 sq cm (c) 102 sq cm (d) 46 sq cm
  24. 24.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 11 cm (c) 22 cm (d) 12 cm
  25. 25.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 25 cm (b) 150 cm (c) 50 cm (d) 40 cm
  26. 26.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 39 cm (b) 5 cm (c) 4 cm (d) 8 cm
  27. 27.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 12 sq cm (c) 24 sq cm (d) 40 sq cm
  28. 28.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 52 sq cm (b) 65 sq cm (c) 34 sq cm (d) 17 sq cm
  29. 29.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 34 cm (b) 4 cm (c) 6 cm (d) 3 cm
  30. 30.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 13 sq cm (b) 33 sq cm (c) 22 sq cm (d) 26 sq cm
  31. 31.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 46 sq cm (b) 140 sq cm (c) 23 sq cm (d) 126 sq cm
  32. 32.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 77 sq cm (b) 18 sq cm (c) 88 sq cm (d) 36 sq cm
  33. 33.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 32 sq cm (b) 55 sq cm (c) 16 sq cm (d) 66 sq cm
  34. 34.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 240 sq cm (d) 260 sq cm
  35. 35.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 192 cm (b) 28 cm (c) 44 cm (d) 56 cm
  36. 36.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 51 sq cm (b) 34 sq cm (c) 19 sq cm (d) 38 sq cm
  37. 37.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 11 sq cm (c) 24 sq cm (d) 22 sq cm
  38. 38.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 24 sq cm (c) 19 sq cm (d) 9 sq cm
  39. 39.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 220 sq cm (d) 200 sq cm
  40. 40.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 16 cm (c) 10 cm (d) 18 cm

Answer key

  1. 2 cm
  2. 20 cm
  3. 40 cm
  4. 16 cm
  5. 64 sq cm
  6. 38 cm
  7. 32 sq cm
  8. 50 cm
  9. 26 cm
  10. 169 sq cm
  11. 152 sq cm
  12. 28 cm
  13. 54 sq cm
  14. 136 sq cm
  15. 70 sq cm
  16. 2 cm
  17. 121 sq cm
  18. 49 sq cm
  19. 58 cm
  20. 2 cm
  21. 5 cm
  22. 225 sq cm
  23. 102 sq cm
  24. 11 cm
  25. 50 cm
  26. 4 cm
  27. 32 sq cm
  28. 52 sq cm
  29. 3 cm
  30. 22 sq cm
  31. 126 sq cm
  32. 77 sq cm
  33. 55 sq cm
  34. 240 sq cm
  35. 56 cm
  36. 34 sq cm
  37. 24 sq cm
  38. 18 sq cm
  39. 200 sq cm
  40. 20 cm

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