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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 779 · 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 228 sq cm and a length of 19 cm. What is its width? (a) 13 cm (b) 24 cm (c) 209 cm (d) 12 cm
  2. 2.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
  3. 3.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 80 cm (b) 44 cm (c) 24 cm (d) 48 cm
  4. 4.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 8 sq cm (c) 12 sq cm (d) 18 sq cm
  5. 5.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 196 sq cm (d) 52 sq cm
  6. 6.A rectangle is 16 cm long and 10 cm wide. What is its perimeter? (a) 160 cm (b) 26 cm (c) 42 cm (d) 52 cm
  7. 7.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 63 sq cm (c) 15 sq cm (d) 54 sq cm
  8. 8.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 15 sq cm (b) 39 sq cm (c) 30 sq cm (d) 26 sq cm
  9. 9.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 209 cm (b) 60 cm (c) 30 cm (d) 49 cm
  10. 10.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 58 cm (b) 198 cm (c) 29 cm (d) 47 cm
  11. 11.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 28 cm (c) 16 cm (d) 30 cm
  12. 12.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 36 cm (c) 20 cm (d) 64 cm
  13. 13.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 58 sq cm (b) 29 sq cm (c) 209 sq cm (d) 190 sq cm
  14. 14.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
  15. 15.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 27 sq cm (b) 162 sq cm (c) 180 sq cm (d) 54 sq cm
  16. 16.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 48 cm (b) 56 cm (c) 160 cm (d) 28 cm
  17. 17.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 42 sq cm (c) 21 sq cm (d) 57 sq cm
  18. 18.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 16 cm (c) 12 cm (d) 14 cm
  19. 19.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 24 sq cm (c) 12 sq cm (d) 32 sq cm
  20. 20.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 20 sq cm (d) 121 sq cm
  21. 21.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 13 sq cm (c) 45 sq cm (d) 26 sq cm
  22. 22.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 102 sq cm (b) 44 sq cm (c) 85 sq cm (d) 22 sq cm
  23. 23.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 28 sq cm (b) 171 sq cm (c) 56 sq cm (d) 190 sq cm
  24. 24.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 26 sq cm (b) 182 sq cm (c) 168 sq cm (d) 52 sq cm
  25. 25.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 128 sq cm (c) 23 sq cm (d) 46 sq cm
  26. 26.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 28 sq cm (d) 14 sq cm
  27. 27.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 28 cm (c) 18 cm (d) 22 cm
  28. 28.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 51 cm (b) 220 cm (c) 31 cm (d) 62 cm
  29. 29.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
  30. 30.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 47 cm (b) 171 cm (c) 56 cm (d) 28 cm
  31. 31.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 48 cm (b) 24 cm (c) 40 cm (d) 128 cm
  32. 32.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 60 sq cm (d) 75 sq cm
  33. 33.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 144 sq cm (d) 121 sq cm
  34. 34.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 29 cm (c) 32 cm (d) 39 cm
  35. 35.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 42 cm
  36. 36.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 72 cm (b) 14 cm (c) 7 cm (d) 8 cm
  37. 37.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 30 sq cm (d) 45 sq cm
  38. 38.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 28 sq cm (c) 14 sq cm (d) 24 sq cm
  39. 39.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 80 sq cm (c) 40 sq cm (d) 64 sq cm
  40. 40.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 7 cm (c) 48 cm (d) 14 cm

Answer key

  1. 12 cm
  2. 196 sq cm
  3. 48 cm
  4. 12 sq cm
  5. 169 sq cm
  6. 52 cm
  7. 54 sq cm
  8. 26 sq cm
  9. 60 cm
  10. 58 cm
  11. 32 cm
  12. 40 cm
  13. 190 sq cm
  14. 36 sq cm
  15. 162 sq cm
  16. 56 cm
  17. 38 sq cm
  18. 16 cm
  19. 32 sq cm
  20. 100 sq cm
  21. 36 sq cm
  22. 85 sq cm
  23. 171 sq cm
  24. 168 sq cm
  25. 112 sq cm
  26. 49 sq cm
  27. 22 cm
  28. 62 cm
  29. 81 sq cm
  30. 56 cm
  31. 48 cm
  32. 60 sq cm
  33. 121 sq cm
  34. 32 cm
  35. 4 cm
  36. 7 cm
  37. 30 sq cm
  38. 24 sq cm
  39. 64 sq cm
  40. 7 cm

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