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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 872 · 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 17 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 51 sq cm (c) 38 sq cm (d) 19 sq cm
  2. 2.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 64 sq cm (d) 80 sq cm
  3. 3.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 19 cm (c) 3 cm (d) 2 cm
  4. 4.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 12 cm (c) 16 cm (d) 8 cm
  5. 5.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 144 sq cm (d) 22 sq cm
  6. 6.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 126 sq cm (b) 23 sq cm (c) 140 sq cm (d) 46 sq cm
  7. 7.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 220 cm (b) 51 cm (c) 62 cm (d) 31 cm
  8. 8.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
  9. 9.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 36 sq cm (d) 45 sq cm
  10. 10.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 21 cm (b) 110 cm (c) 32 cm (d) 42 cm
  11. 11.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 48 cm (c) 14 cm (d) 8 cm
  12. 12.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
  13. 13.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 78 cm (b) 19 cm (c) 32 cm (d) 38 cm
  14. 14.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
  15. 15.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 40 sq cm (c) 50 sq cm (d) 28 sq cm
  16. 16.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 38 cm (b) 19 cm (c) 84 cm (d) 31 cm
  17. 17.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 50 cm
  18. 18.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 4 cm (c) 28 cm (d) 3 cm
  19. 19.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 100 sq cm (d) 40 sq cm
  20. 20.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 117 cm (c) 10 cm (d) 20 cm
  21. 21.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 225 sq cm (d) 28 sq cm
  22. 22.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 84 sq cm (b) 19 sq cm (c) 70 sq cm (d) 38 sq cm
  23. 23.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 20 cm (c) 10 cm (d) 11 cm
  24. 24.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 22 cm (c) 190 cm (d) 11 cm
  25. 25.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 7 cm (b) 14 cm (c) 96 cm (d) 8 cm
  26. 26.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 68 cm (c) 6 cm (d) 5 cm
  27. 27.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 48 cm (b) 190 cm (c) 29 cm (d) 58 cm
  28. 28.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 216 cm (b) 48 cm (c) 60 cm (d) 30 cm
  29. 29.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 76 cm (b) 5 cm (c) 10 cm (d) 6 cm
  30. 30.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 16 cm (b) 77 cm (c) 9 cm (d) 8 cm
  31. 31.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
  32. 32.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 35 sq cm (b) 42 sq cm (c) 24 sq cm (d) 12 sq cm
  33. 33.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 26 sq cm (c) 13 sq cm (d) 42 sq cm
  34. 34.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 21 cm (b) 108 cm (c) 33 cm (d) 42 cm
  35. 35.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 63 cm (c) 32 cm (d) 16 cm
  36. 36.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 13 cm
  37. 37.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 114 cm
  38. 38.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 56 cm (c) 48 cm (d) 160 cm
  39. 39.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 19 cm (c) 24 cm (d) 12 cm
  40. 40.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 28 sq cm (c) 22 sq cm (d) 35 sq cm

Answer key

  1. 34 sq cm
  2. 64 sq cm
  3. 2 cm
  4. 16 cm
  5. 121 sq cm
  6. 126 sq cm
  7. 62 cm
  8. 81 sq cm
  9. 36 sq cm
  10. 42 cm
  11. 7 cm
  12. 49 sq cm
  13. 38 cm
  14. 64 sq cm
  15. 40 sq cm
  16. 38 cm
  17. 6 cm
  18. 3 cm
  19. 100 sq cm
  20. 10 cm
  21. 196 sq cm
  22. 70 sq cm
  23. 10 cm
  24. 11 cm
  25. 7 cm
  26. 5 cm
  27. 58 cm
  28. 60 cm
  29. 5 cm
  30. 8 cm
  31. 18 sq cm
  32. 35 sq cm
  33. 42 sq cm
  34. 42 cm
  35. 32 cm
  36. 2 cm
  37. 7 cm
  38. 56 cm
  39. 24 cm
  40. 28 sq cm

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