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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 351 · 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 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 21 sq cm (c) 9 sq cm (d) 14 sq cm
  2. 2.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 22 cm (c) 20 cm (d) 11 cm
  3. 3.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 110 cm (b) 32 cm (c) 42 cm (d) 21 cm
  4. 4.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 22 sq cm (c) 13 sq cm (d) 33 sq cm
  5. 5.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 12 sq cm (d) 49 sq cm
  6. 6.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 54 cm (b) 39 cm (c) 42 cm (d) 21 cm
  7. 7.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 120 cm (b) 23 cm (c) 38 cm (d) 46 cm
  8. 8.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 80 cm (b) 6 cm (c) 12 cm (d) 7 cm
  9. 9.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 60 cm (b) 14 cm (c) 8 cm (d) 7 cm
  10. 10.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 38 sq cm (b) 100 sq cm (c) 19 sq cm (d) 90 sq cm
  11. 11.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 40 sq cm (d) 48 sq cm
  12. 12.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 144 sq cm (d) 24 sq cm
  13. 13.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 30 sq cm (d) 225 sq cm
  14. 14.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 162 cm (c) 11 cm (d) 20 cm
  15. 15.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
  16. 16.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 130 cm (c) 36 cm (d) 23 cm
  17. 17.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
  18. 18.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 46 cm (b) 90 cm (c) 41 cm (d) 23 cm
  19. 19.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 20 cm (c) 24 cm (d) 12 cm
  20. 20.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 34 sq cm (b) 65 sq cm (c) 52 sq cm (d) 17 sq cm
  21. 21.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 18 sq cm (b) 88 sq cm (c) 36 sq cm (d) 77 sq cm
  22. 22.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 18 sq cm (c) 8 sq cm (d) 16 sq cm
  23. 23.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 12 cm (d) 8 cm
  24. 24.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 34 cm (b) 6 cm (c) 3 cm (d) 4 cm
  25. 25.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 36 cm (c) 15 cm (d) 30 cm
  26. 26.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 32 sq cm (d) 64 sq cm
  27. 27.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 48 sq cm (b) 150 sq cm (c) 24 sq cm (d) 135 sq cm
  28. 28.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 2 cm (b) 3 cm (c) 18 cm (d) 4 cm
  29. 29.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 15 sq cm (c) 30 sq cm (d) 56 sq cm
  30. 30.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 44 cm (b) 42 cm (c) 40 cm (d) 22 cm
  31. 31.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 120 cm (c) 9 cm (d) 18 cm
  32. 32.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 54 sq cm (b) 15 sq cm (c) 30 sq cm (d) 63 sq cm
  33. 33.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 7 cm (c) 114 cm (d) 14 cm
  34. 34.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 44 cm (b) 37 cm (c) 105 cm (d) 22 cm
  35. 35.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 100 sq cm (d) 121 sq cm
  36. 36.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 13 cm (c) 40 cm (d) 26 cm
  37. 37.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 52 sq cm (b) 120 sq cm (c) 26 sq cm (d) 140 sq cm
  38. 38.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 24 cm (c) 209 cm (d) 13 cm
  39. 39.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 24 cm (c) 12 cm (d) 13 cm
  40. 40.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 21 cm (c) 40 cm (d) 38 cm

Answer key

  1. 14 sq cm
  2. 22 cm
  3. 42 cm
  4. 22 sq cm
  5. 36 sq cm
  6. 42 cm
  7. 46 cm
  8. 6 cm
  9. 7 cm
  10. 90 sq cm
  11. 40 sq cm
  12. 144 sq cm
  13. 225 sq cm
  14. 10 cm
  15. 169 sq cm
  16. 46 cm
  17. 81 sq cm
  18. 46 cm
  19. 24 cm
  20. 52 sq cm
  21. 77 sq cm
  22. 12 sq cm
  23. 16 cm
  24. 3 cm
  25. 30 cm
  26. 64 sq cm
  27. 135 sq cm
  28. 2 cm
  29. 56 sq cm
  30. 44 cm
  31. 9 cm
  32. 54 sq cm
  33. 7 cm
  34. 44 cm
  35. 100 sq cm
  36. 26 cm
  37. 120 sq cm
  38. 12 cm
  39. 12 cm
  40. 42 cm

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