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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 542 · 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 12 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 28 cm (c) 32 cm (d) 48 cm
  2. 2.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 11 cm (c) 22 cm (d) 17 cm
  3. 3.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 72 sq cm (b) 21 sq cm (c) 54 sq cm (d) 42 sq cm
  4. 4.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 34 cm (b) 31 cm (c) 17 cm (d) 42 cm
  5. 5.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 15 cm (c) 5 cm (d) 8 cm
  6. 6.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 32 sq cm (d) 81 sq cm
  7. 7.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 120 cm (c) 46 cm (d) 52 cm
  8. 8.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 24 cm (c) 13 cm (d) 12 cm
  9. 9.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 27 cm (d) 70 cm
  10. 10.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 156 sq cm (b) 143 sq cm (c) 24 sq cm (d) 48 sq cm
  11. 11.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 28 sq cm (d) 49 sq cm
  12. 12.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 120 sq cm (b) 42 sq cm (c) 108 sq cm (d) 21 sq cm
  13. 13.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 88 cm
  14. 14.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 10 cm
  15. 15.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 70 sq cm (d) 84 sq cm
  16. 16.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 13 cm (c) 24 cm (d) 12 cm
  17. 17.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 54 cm (b) 180 cm (c) 42 cm (d) 27 cm
  18. 18.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 68 cm (b) 21 cm (c) 42 cm (d) 38 cm
  19. 19.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 28 cm (b) 56 cm (c) 171 cm (d) 47 cm
  20. 20.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
  21. 21.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 46 cm (b) 126 cm (c) 37 cm (d) 23 cm
  22. 22.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 45 cm (b) 26 cm (c) 52 cm (d) 133 cm
  23. 23.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 20 cm (b) 135 cm (c) 11 cm (d) 10 cm
  24. 24.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 24 sq cm (d) 12 sq cm
  25. 25.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 2 cm (b) 4 cm (c) 6 cm (d) 3 cm
  26. 26.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 42 cm (b) 21 cm (c) 80 cm (d) 37 cm
  27. 27.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 72 sq cm (c) 17 sq cm (d) 34 sq cm
  28. 28.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 8 cm (c) 98 cm (d) 16 cm
  29. 29.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 12 cm (c) 35 cm (d) 7 cm
  30. 30.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 57 cm (c) 44 cm (d) 41 cm
  31. 31.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 18 cm (c) 16 cm (d) 20 cm
  32. 32.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 121 sq cm (d) 22 sq cm
  33. 33.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 35 cm (c) 19 cm (d) 24 cm
  34. 34.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 90 sq cm (c) 72 sq cm (d) 22 sq cm
  35. 35.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 126 cm
  36. 36.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 48 cm (b) 8 cm (c) 14 cm (d) 7 cm
  37. 37.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 23 sq cm (c) 80 sq cm (d) 46 sq cm
  38. 38.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 95 sq cm (b) 46 sq cm (c) 76 sq cm (d) 23 sq cm
  39. 39.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 220 cm (c) 24 cm (d) 13 cm
  40. 40.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 12 cm (b) 40 cm (c) 7 cm (d) 6 cm

Answer key

  1. 32 cm
  2. 22 cm
  3. 54 sq cm
  4. 34 cm
  5. 4 cm
  6. 64 sq cm
  7. 52 cm
  8. 12 cm
  9. 34 cm
  10. 143 sq cm
  11. 49 sq cm
  12. 108 sq cm
  13. 9 cm
  14. 3 cm
  15. 70 sq cm
  16. 12 cm
  17. 54 cm
  18. 42 cm
  19. 56 cm
  20. 6 cm
  21. 46 cm
  22. 52 cm
  23. 10 cm
  24. 36 sq cm
  25. 2 cm
  26. 42 cm
  27. 72 sq cm
  28. 8 cm
  29. 6 cm
  30. 44 cm
  31. 20 cm
  32. 121 sq cm
  33. 24 cm
  34. 72 sq cm
  35. 8 cm
  36. 7 cm
  37. 60 sq cm
  38. 76 sq cm
  39. 12 cm
  40. 6 cm

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