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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 668 · 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 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 70 sq cm (d) 60 sq cm
  2. 2.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 12 cm (b) 6 cm (c) 3 cm (d) 4 cm
  3. 3.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 40 cm (c) 72 cm (d) 22 cm
  4. 4.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 32 sq cm (c) 40 sq cm (d) 24 sq cm
  5. 5.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 70 sq cm (c) 18 sq cm (d) 56 sq cm
  6. 6.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 42 sq cm (b) 108 sq cm (c) 120 sq cm (d) 21 sq cm
  7. 7.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 114 cm (b) 25 cm (c) 44 cm (d) 50 cm
  8. 8.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 120 cm (b) 46 cm (c) 26 cm (d) 52 cm
  9. 9.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 114 cm (b) 14 cm (c) 8 cm (d) 7 cm
  10. 10.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 11 cm (c) 22 cm (d) 30 cm
  11. 11.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 5 cm (c) 60 cm (d) 4 cm
  12. 12.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 28 cm (d) 66 cm
  13. 13.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 24 cm (c) 28 cm (d) 26 cm
  14. 14.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 144 sq cm (b) 50 sq cm (c) 126 sq cm (d) 25 sq cm
  15. 15.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
  16. 16.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 14 cm (c) 12 cm (d) 16 cm
  17. 17.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  18. 18.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 14 sq cm (d) 48 sq cm
  19. 19.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 30 cm (c) 26 cm (d) 13 cm
  20. 20.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 198 cm
  21. 21.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 168 sq cm (b) 154 sq cm (c) 25 sq cm (d) 50 sq cm
  22. 22.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 150 cm (b) 40 cm (c) 25 cm (d) 50 cm
  23. 23.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 240 sq cm (d) 260 sq cm
  24. 24.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 108 cm (b) 7 cm (c) 14 cm (d) 8 cm
  25. 25.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 144 sq cm (d) 48 sq cm
  26. 26.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 57 cm (c) 8 cm (d) 5 cm
  27. 27.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 16 cm (c) 28 cm (d) 30 cm
  28. 28.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 36 cm
  29. 29.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
  30. 30.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 16 cm (b) 84 cm (c) 8 cm (d) 9 cm
  31. 31.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 18 cm (c) 10 cm (d) 9 cm
  32. 32.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 190 cm (b) 58 cm (c) 29 cm (d) 48 cm
  33. 33.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 140 cm
  34. 34.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 56 sq cm (b) 208 sq cm (c) 192 sq cm (d) 28 sq cm
  35. 35.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 26 sq cm (c) 45 sq cm (d) 13 sq cm
  36. 36.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 14 sq cm (d) 28 sq cm
  37. 37.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
  38. 38.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 14 cm (c) 48 cm (d) 28 cm
  39. 39.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 190 sq cm (b) 56 sq cm (c) 171 sq cm (d) 28 sq cm
  40. 40.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 72 sq cm (c) 34 sq cm (d) 81 sq cm

Answer key

  1. 60 sq cm
  2. 3 cm
  3. 44 cm
  4. 32 sq cm
  5. 56 sq cm
  6. 108 sq cm
  7. 50 cm
  8. 52 cm
  9. 7 cm
  10. 22 cm
  11. 4 cm
  12. 34 cm
  13. 28 cm
  14. 126 sq cm
  15. 225 sq cm
  16. 16 cm
  17. 64 sq cm
  18. 48 sq cm
  19. 26 cm
  20. 12 cm
  21. 154 sq cm
  22. 50 cm
  23. 240 sq cm
  24. 7 cm
  25. 144 sq cm
  26. 4 cm
  27. 32 cm
  28. 3 cm
  29. 36 sq cm
  30. 8 cm
  31. 9 cm
  32. 58 cm
  33. 11 cm
  34. 192 sq cm
  35. 36 sq cm
  36. 49 sq cm
  37. 121 sq cm
  38. 28 cm
  39. 171 sq cm
  40. 72 sq cm

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