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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 896 · 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 square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
  2. 2.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 26 cm (b) 6 cm (c) 4 cm (d) 3 cm
  3. 3.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
  4. 4.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 36 cm (b) 77 cm (c) 29 cm (d) 18 cm
  5. 5.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 3 cm (b) 2 cm (c) 1 cm (d) 4 cm
  6. 6.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 19 cm (b) 3 cm (c) 4 cm (d) 2 cm
  7. 7.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
  8. 8.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 48 cm (b) 35 cm (c) 19 cm (d) 38 cm
  9. 9.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 18 cm (b) 10 cm (c) 160 cm (d) 9 cm
  10. 10.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 88 cm (b) 10 cm (c) 9 cm (d) 18 cm
  11. 11.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
  12. 12.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 120 sq cm (d) 108 sq cm
  13. 13.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 64 sq cm (b) 80 sq cm (c) 40 sq cm (d) 20 sq cm
  14. 14.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 62 cm (b) 50 cm (c) 31 cm (d) 228 cm
  15. 15.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 48 sq cm (d) 14 sq cm
  16. 16.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 24 cm (c) 30 cm (d) 15 cm
  17. 17.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 21 cm (b) 108 cm (c) 33 cm (d) 42 cm
  18. 18.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 13 cm (b) 30 cm (c) 23 cm (d) 26 cm
  19. 19.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
  20. 20.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 4 cm (c) 2 cm (d) 3 cm
  21. 21.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 23 cm (b) 132 cm (c) 35 cm (d) 46 cm
  22. 22.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 100 sq cm (d) 20 sq cm
  23. 23.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 28 cm (d) 22 cm
  24. 24.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 50 cm (b) 114 cm (c) 44 cm (d) 25 cm
  25. 25.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 136 cm
  26. 26.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 47 cm (b) 58 cm (c) 198 cm (d) 29 cm
  27. 27.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 40 cm (c) 12 cm (d) 7 cm
  28. 28.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 46 cm (b) 37 cm (c) 23 cm (d) 126 cm
  29. 29.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 14 cm (c) 8 cm (d) 16 cm
  30. 30.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 49 sq cm (d) 28 sq cm
  31. 31.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 42 sq cm (b) 121 sq cm (c) 21 sq cm (d) 110 sq cm
  32. 32.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 38 cm (c) 21 cm (d) 40 cm
  33. 33.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 2 cm (c) 18 cm (d) 3 cm
  34. 34.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 56 sq cm (c) 30 sq cm (d) 64 sq cm
  35. 35.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
  36. 36.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 21 cm (c) 12 cm (d) 24 cm
  37. 37.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 180 cm
  38. 38.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 135 sq cm (b) 120 sq cm (c) 46 sq cm (d) 23 sq cm
  39. 39.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 200 cm
  40. 40.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 29 sq cm (b) 58 sq cm (c) 198 sq cm (d) 216 sq cm

Answer key

  1. 121 sq cm
  2. 3 cm
  3. 25 sq cm
  4. 36 cm
  5. 2 cm
  6. 2 cm
  7. 62 cm
  8. 38 cm
  9. 9 cm
  10. 9 cm
  11. 169 sq cm
  12. 108 sq cm
  13. 64 sq cm
  14. 62 cm
  15. 48 sq cm
  16. 30 cm
  17. 42 cm
  18. 26 cm
  19. 81 sq cm
  20. 2 cm
  21. 46 cm
  22. 100 sq cm
  23. 22 cm
  24. 50 cm
  25. 9 cm
  26. 58 cm
  27. 6 cm
  28. 46 cm
  29. 16 cm
  30. 49 sq cm
  31. 110 sq cm
  32. 42 cm
  33. 2 cm
  34. 56 sq cm
  35. 144 sq cm
  36. 24 cm
  37. 10 cm
  38. 120 sq cm
  39. 11 cm
  40. 198 sq cm

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