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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 484 · 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 6 cm wide. What is its perimeter? (a) 20 cm (b) 13 cm (c) 26 cm (d) 42 cm
  2. 2.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 121 sq cm (d) 40 sq cm
  3. 3.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 46 cm (b) 37 cm (c) 126 cm (d) 23 cm
  4. 4.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 4 cm (c) 54 cm (d) 5 cm
  5. 5.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 30 sq cm (c) 26 sq cm (d) 40 sq cm
  6. 6.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 80 sq cm (c) 96 sq cm (d) 21 sq cm
  7. 7.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 36 sq cm (c) 45 sq cm (d) 13 sq cm
  8. 8.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 29 sq cm (b) 58 sq cm (c) 216 sq cm (d) 198 sq cm
  9. 9.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 96 cm
  10. 10.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 12 sq cm (c) 30 sq cm (d) 24 sq cm
  11. 11.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 190 sq cm (b) 56 sq cm (c) 28 sq cm (d) 171 sq cm
  12. 12.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 26 cm (d) 44 cm
  13. 13.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 19 cm (b) 4 cm (c) 3 cm (d) 2 cm
  14. 14.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 25 cm (b) 14 cm (c) 28 cm (d) 33 cm
  15. 15.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 144 cm
  16. 16.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
  17. 17.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 126 sq cm (b) 22 sq cm (c) 44 sq cm (d) 112 sq cm
  18. 18.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 54 sq cm (d) 45 sq cm
  19. 19.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 60 sq cm (b) 234 sq cm (c) 30 sq cm (d) 216 sq cm
  20. 20.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 38 sq cm (b) 99 sq cm (c) 88 sq cm (d) 19 sq cm
  21. 21.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 35 cm (b) 19 cm (c) 48 cm (d) 38 cm
  22. 22.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 48 sq cm (d) 24 sq cm
  23. 23.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 40 cm (c) 20 cm (d) 64 cm
  24. 24.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 209 cm
  25. 25.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 18 sq cm (c) 9 sq cm (d) 19 sq cm
  26. 26.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 28 sq cm (d) 14 sq cm
  27. 27.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 60 cm (c) 19 cm (d) 34 cm
  28. 28.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 60 cm (b) 8 cm (c) 7 cm (d) 14 cm
  29. 29.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
  30. 30.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 77 sq cm (b) 36 sq cm (c) 18 sq cm (d) 88 sq cm
  31. 31.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 10 cm (c) 32 cm (d) 5 cm
  32. 32.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
  33. 33.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 156 cm (d) 38 cm
  34. 34.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 247 sq cm (b) 62 sq cm (c) 228 sq cm (d) 31 sq cm
  35. 35.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
  36. 36.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 72 cm (b) 40 cm (c) 22 cm (d) 44 cm
  37. 37.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 49 sq cm (d) 24 sq cm
  38. 38.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 64 sq cm (c) 40 sq cm (d) 20 sq cm
  39. 39.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 130 sq cm (b) 44 sq cm (c) 22 sq cm (d) 117 sq cm
  40. 40.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 90 cm

Answer key

  1. 26 cm
  2. 100 sq cm
  3. 46 cm
  4. 4 cm
  5. 30 sq cm
  6. 80 sq cm
  7. 36 sq cm
  8. 198 sq cm
  9. 9 cm
  10. 20 sq cm
  11. 171 sq cm
  12. 30 cm
  13. 2 cm
  14. 28 cm
  15. 9 cm
  16. 81 sq cm
  17. 112 sq cm
  18. 45 sq cm
  19. 216 sq cm
  20. 88 sq cm
  21. 38 cm
  22. 144 sq cm
  23. 40 cm
  24. 12 cm
  25. 18 sq cm
  26. 49 sq cm
  27. 38 cm
  28. 7 cm
  29. 64 sq cm
  30. 77 sq cm
  31. 5 cm
  32. 121 sq cm
  33. 50 cm
  34. 228 sq cm
  35. 225 sq cm
  36. 44 cm
  37. 36 sq cm
  38. 64 sq cm
  39. 117 sq cm
  40. 6 cm

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