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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 19 · 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 7 cm wide. What is its area? (a) 96 sq cm (b) 19 sq cm (c) 84 sq cm (d) 38 sq cm
  2. 2.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 31 cm (b) 220 cm (c) 51 cm (d) 62 cm
  3. 3.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 21 cm (c) 12 cm (d) 27 cm
  4. 4.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 17 cm (d) 30 cm
  5. 5.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 81 sq cm (c) 72 sq cm (d) 34 sq cm
  6. 6.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 62 sq cm (c) 220 sq cm (d) 240 sq cm
  7. 7.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 85 sq cm (b) 44 sq cm (c) 22 sq cm (d) 102 sq cm
  8. 8.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 20 sq cm (d) 100 sq cm
  9. 9.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
  10. 10.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 126 cm
  11. 11.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 70 sq cm (c) 56 sq cm (d) 18 sq cm
  12. 12.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 12 cm (c) 16 cm (d) 8 cm
  13. 13.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 169 sq cm (d) 196 sq cm
  14. 14.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 108 cm (c) 11 cm (d) 10 cm
  15. 15.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 45 sq cm (b) 54 sq cm (c) 28 sq cm (d) 14 sq cm
  16. 16.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 28 sq cm (d) 21 sq cm
  17. 17.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 7 cm (c) 6 cm (d) 12 cm
  18. 18.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 34 cm (c) 19 cm (d) 60 cm
  19. 19.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 112 sq cm (d) 98 sq cm
  20. 20.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 20 cm (c) 144 cm (d) 10 cm
  21. 21.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 48 sq cm (c) 28 sq cm (d) 56 sq cm
  22. 22.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 38 sq cm (b) 60 sq cm (c) 75 sq cm (d) 19 sq cm
  23. 23.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 70 sq cm (c) 17 sq cm (d) 80 sq cm
  24. 24.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 85 cm
  25. 25.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 6 cm (c) 35 cm (d) 12 cm
  26. 26.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 18 cm (c) 36 cm (d) 28 cm
  27. 27.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 5 cm (c) 64 cm (d) 6 cm
  28. 28.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 25 sq cm (b) 136 sq cm (c) 153 sq cm (d) 50 sq cm
  29. 29.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 104 cm (c) 10 cm (d) 18 cm
  30. 30.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 13 sq cm (c) 26 sq cm (d) 45 sq cm
  31. 31.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 84 cm
  32. 32.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 32 sq cm (d) 81 sq cm
  33. 33.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 28 cm (c) 14 cm (d) 24 cm
  34. 34.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 44 sq cm (d) 144 sq cm
  35. 35.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
  36. 36.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 15 cm (b) 25 cm (c) 50 cm (d) 30 cm
  37. 37.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 30 cm (d) 32 cm
  38. 38.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 169 sq cm (b) 50 sq cm (c) 25 sq cm (d) 156 sq cm
  39. 39.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 76 cm (b) 10 cm (c) 5 cm (d) 6 cm
  40. 40.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 8 cm (c) 16 cm (d) 9 cm

Answer key

  1. 84 sq cm
  2. 62 cm
  3. 24 cm
  4. 22 cm
  5. 72 sq cm
  6. 220 sq cm
  7. 85 sq cm
  8. 100 sq cm
  9. 25 sq cm
  10. 8 cm
  11. 56 sq cm
  12. 16 cm
  13. 169 sq cm
  14. 10 cm
  15. 45 sq cm
  16. 21 sq cm
  17. 6 cm
  18. 38 cm
  19. 98 sq cm
  20. 10 cm
  21. 48 sq cm
  22. 60 sq cm
  23. 70 sq cm
  24. 6 cm
  25. 6 cm
  26. 36 cm
  27. 5 cm
  28. 136 sq cm
  29. 9 cm
  30. 36 sq cm
  31. 8 cm
  32. 64 sq cm
  33. 28 cm
  34. 121 sq cm
  35. 49 sq cm
  36. 30 cm
  37. 34 cm
  38. 156 sq cm
  39. 5 cm
  40. 8 cm

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