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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 642 · 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 8 cm long and 4 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 20 cm (d) 32 cm
  2. 2.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 54 cm (c) 21 cm (d) 42 cm
  3. 3.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 49 sq cm
  4. 4.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 28 sq cm (d) 196 sq cm
  5. 5.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 25 sq cm (d) 36 sq cm
  6. 6.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 40 cm (b) 150 cm (c) 25 cm (d) 50 cm
  7. 7.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 85 sq cm (b) 68 sq cm (c) 21 sq cm (d) 42 sq cm
  8. 8.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 51 sq cm (b) 34 sq cm (c) 19 sq cm (d) 38 sq cm
  9. 9.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 42 sq cm (b) 108 sq cm (c) 21 sq cm (d) 120 sq cm
  10. 10.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 140 sq cm (b) 54 sq cm (c) 27 sq cm (d) 160 sq cm
  11. 11.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 48 cm
  12. 12.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 20 sq cm (d) 121 sq cm
  13. 13.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 182 sq cm (b) 26 sq cm (c) 168 sq cm (d) 52 sq cm
  14. 14.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 81 sq cm (d) 32 sq cm
  15. 15.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 11 cm (c) 22 cm (d) 160 cm
  16. 16.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 30 sq cm (c) 11 sq cm (d) 22 sq cm
  17. 17.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 12 cm (d) 35 cm
  18. 18.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 18 sq cm (c) 90 sq cm (d) 36 sq cm
  19. 19.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 10 cm (c) 76 cm (d) 5 cm
  20. 20.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 25 sq cm (b) 100 sq cm (c) 120 sq cm (d) 50 sq cm
  21. 21.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 15 sq cm (c) 64 sq cm (d) 30 sq cm
  22. 22.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
  23. 23.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 28 sq cm (c) 21 sq cm (d) 20 sq cm
  24. 24.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 24 cm (b) 165 cm (c) 12 cm (d) 13 cm
  25. 25.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 10 cm (c) 6 cm (d) 3 cm
  26. 26.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 200 sq cm (d) 220 sq cm
  27. 27.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 15 cm (b) 25 cm (c) 30 cm (d) 50 cm
  28. 28.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 20 cm (c) 40 cm (d) 84 cm
  29. 29.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 80 sq cm (b) 42 sq cm (c) 96 sq cm (d) 21 sq cm
  30. 30.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 14 cm (b) 54 cm (c) 8 cm (d) 7 cm
  31. 31.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 54 sq cm (c) 45 sq cm (d) 14 sq cm
  32. 32.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 35 sq cm (c) 42 sq cm (d) 12 sq cm
  33. 33.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
  34. 34.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 169 sq cm (d) 48 sq cm
  35. 35.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 104 sq cm (b) 42 sq cm (c) 21 sq cm (d) 117 sq cm
  36. 36.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 154 cm (c) 12 cm (d) 24 cm
  37. 37.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 42 cm (b) 35 cm (c) 98 cm (d) 21 cm
  38. 38.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 16 cm (b) 119 cm (c) 9 cm (d) 8 cm
  39. 39.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 38 cm (c) 36 cm (d) 20 cm
  40. 40.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 90 sq cm (c) 72 sq cm (d) 44 sq cm

Answer key

  1. 24 cm
  2. 42 cm
  3. 36 sq cm
  4. 196 sq cm
  5. 25 sq cm
  6. 50 cm
  7. 68 sq cm
  8. 34 sq cm
  9. 108 sq cm
  10. 140 sq cm
  11. 5 cm
  12. 100 sq cm
  13. 168 sq cm
  14. 64 sq cm
  15. 11 cm
  16. 30 sq cm
  17. 24 cm
  18. 80 sq cm
  19. 5 cm
  20. 100 sq cm
  21. 56 sq cm
  22. 49 sq cm
  23. 21 sq cm
  24. 12 cm
  25. 3 cm
  26. 200 sq cm
  27. 30 cm
  28. 40 cm
  29. 80 sq cm
  30. 7 cm
  31. 45 sq cm
  32. 35 sq cm
  33. 81 sq cm
  34. 144 sq cm
  35. 104 sq cm
  36. 12 cm
  37. 42 cm
  38. 8 cm
  39. 40 cm
  40. 72 sq cm

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