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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 60 · 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 5 cm wide. What is its area? (a) 45 sq cm (b) 14 sq cm (c) 54 sq cm (d) 28 sq cm
  2. 2.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
  3. 3.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 25 cm (b) 144 cm (c) 50 cm (d) 41 cm
  4. 4.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 48 sq cm (c) 18 sq cm (d) 36 sq cm
  5. 5.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 26 cm (c) 21 cm (d) 13 cm
  6. 6.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 171 cm (c) 10 cm (d) 20 cm
  7. 7.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 91 sq cm (d) 78 sq cm
  8. 8.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 40 sq cm (d) 20 sq cm
  9. 9.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 120 cm (b) 9 cm (c) 18 cm (d) 10 cm
  10. 10.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  11. 11.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 3 cm (c) 12 cm (d) 4 cm
  12. 12.A rectangle is 16 cm long and 10 cm wide. What is its perimeter? (a) 26 cm (b) 42 cm (c) 160 cm (d) 52 cm
  13. 13.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 120 cm (b) 14 cm (c) 8 cm (d) 7 cm
  14. 14.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 12 cm (c) 45 cm (d) 7 cm
  15. 15.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 40 sq cm (d) 48 sq cm
  16. 16.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 40 cm (c) 28 cm (d) 14 cm
  17. 17.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 204 sq cm (d) 187 sq cm
  18. 18.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 44 cm (c) 15 cm (d) 26 cm
  19. 19.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 42 sq cm (c) 34 sq cm (d) 56 sq cm
  20. 20.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 19 sq cm (b) 96 sq cm (c) 38 sq cm (d) 84 sq cm
  21. 21.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 27 cm (b) 45 cm (c) 162 cm (d) 54 cm
  22. 22.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 126 sq cm (b) 25 sq cm (c) 144 sq cm (d) 50 sq cm
  23. 23.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 51 cm
  24. 24.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 15 sq cm (b) 44 sq cm (c) 55 sq cm (d) 30 sq cm
  25. 25.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 26 cm (c) 4 cm (d) 3 cm
  26. 26.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 19 cm (c) 15 cm (d) 18 cm
  27. 27.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 60 sq cm (d) 256 sq cm
  28. 28.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 105 cm (b) 9 cm (c) 8 cm (d) 16 cm
  29. 29.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 26 cm (c) 24 cm (d) 28 cm
  30. 30.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 16 cm (b) 70 cm (c) 9 cm (d) 8 cm
  31. 31.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 91 sq cm (d) 104 sq cm
  32. 32.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 228 cm (b) 62 cm (c) 50 cm (d) 31 cm
  33. 33.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 28 cm (b) 10 cm (c) 5 cm (d) 6 cm
  34. 34.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 56 cm (c) 180 cm (d) 28 cm
  35. 35.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 54 sq cm (b) 180 sq cm (c) 195 sq cm (d) 27 sq cm
  36. 36.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 8 cm (c) 14 cm (d) 12 cm
  37. 37.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 44 sq cm (d) 22 sq cm
  38. 38.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
  39. 39.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 102 sq cm (d) 85 sq cm
  40. 40.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 10 sq cm (d) 16 sq cm

Answer key

  1. 45 sq cm
  2. 49 sq cm
  3. 50 cm
  4. 32 sq cm
  5. 26 cm
  6. 10 cm
  7. 78 sq cm
  8. 100 sq cm
  9. 9 cm
  10. 64 sq cm
  11. 3 cm
  12. 52 cm
  13. 7 cm
  14. 6 cm
  15. 40 sq cm
  16. 28 cm
  17. 187 sq cm
  18. 30 cm
  19. 42 sq cm
  20. 84 sq cm
  21. 54 cm
  22. 126 sq cm
  23. 4 cm
  24. 44 sq cm
  25. 3 cm
  26. 18 cm
  27. 225 sq cm
  28. 8 cm
  29. 28 cm
  30. 8 cm
  31. 91 sq cm
  32. 62 cm
  33. 5 cm
  34. 56 cm
  35. 180 sq cm
  36. 16 cm
  37. 121 sq cm
  38. 144 sq cm
  39. 85 sq cm
  40. 16 sq cm

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