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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 619 · 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 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 11 cm (c) 22 cm (d) 18 cm
  2. 2.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 15 cm (b) 5 cm (c) 4 cm (d) 8 cm
  3. 3.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 22 cm (c) 11 cm (d) 17 cm
  4. 4.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 16 sq cm (b) 72 sq cm (c) 32 sq cm (d) 63 sq cm
  5. 5.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 30 cm (c) 4 cm (d) 3 cm
  6. 6.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 136 sq cm (c) 119 sq cm (d) 24 sq cm
  7. 7.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 32 sq cm (d) 64 sq cm
  8. 8.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 6 cm (c) 72 cm (d) 5 cm
  9. 9.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 23 sq cm (c) 46 sq cm (d) 130 sq cm
  10. 10.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 24 sq cm (c) 32 sq cm (d) 12 sq cm
  11. 11.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 48 cm (d) 22 cm
  12. 12.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 30 cm (b) 88 cm (c) 38 cm (d) 19 cm
  13. 13.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 8 sq cm (c) 16 sq cm (d) 18 sq cm
  14. 14.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 44 cm (b) 40 cm (c) 42 cm (d) 22 cm
  15. 15.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 43 cm (d) 126 cm
  16. 16.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 13 sq cm (c) 40 sq cm (d) 26 sq cm
  17. 17.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 27 sq cm
  18. 18.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 33 cm (d) 25 cm
  19. 19.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 114 cm
  20. 20.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 42 sq cm (c) 35 sq cm (d) 12 sq cm
  21. 21.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 49 sq cm (d) 42 sq cm
  22. 22.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
  23. 23.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 54 cm
  24. 24.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 12 cm
  25. 25.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 14 cm
  26. 26.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 96 sq cm (d) 108 sq cm
  27. 27.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 30 cm (b) 49 cm (c) 209 cm (d) 60 cm
  28. 28.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 105 sq cm (b) 90 sq cm (c) 21 sq cm (d) 42 sq cm
  29. 29.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 56 sq cm (c) 15 sq cm (d) 64 sq cm
  30. 30.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 108 cm (c) 48 cm (d) 24 cm
  31. 31.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 32 cm (b) 16 cm (c) 63 cm (d) 25 cm
  32. 32.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 20 cm (c) 144 cm (d) 11 cm
  33. 33.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 100 sq cm (d) 18 sq cm
  34. 34.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 160 cm (c) 48 cm (d) 56 cm
  35. 35.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 48 sq cm (d) 24 sq cm
  36. 36.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 40 cm (c) 38 cm (d) 21 cm
  37. 37.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 24 cm (c) 21 cm (d) 12 cm
  38. 38.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 58 cm (b) 29 cm (c) 47 cm (d) 198 cm
  39. 39.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 36 sq cm (c) 15 sq cm (d) 48 sq cm
  40. 40.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 33 sq cm (b) 28 sq cm (c) 14 sq cm (d) 44 sq cm

Answer key

  1. 22 cm
  2. 4 cm
  3. 22 cm
  4. 63 sq cm
  5. 3 cm
  6. 119 sq cm
  7. 64 sq cm
  8. 5 cm
  9. 130 sq cm
  10. 32 sq cm
  11. 28 cm
  12. 38 cm
  13. 12 sq cm
  14. 44 cm
  15. 50 cm
  16. 30 sq cm
  17. 27 sq cm
  18. 28 cm
  19. 7 cm
  20. 35 sq cm
  21. 42 sq cm
  22. 225 sq cm
  23. 4 cm
  24. 3 cm
  25. 3 cm
  26. 96 sq cm
  27. 60 cm
  28. 90 sq cm
  29. 56 sq cm
  30. 48 cm
  31. 32 cm
  32. 10 cm
  33. 81 sq cm
  34. 56 cm
  35. 144 sq cm
  36. 42 cm
  37. 24 cm
  38. 58 cm
  39. 36 sq cm
  40. 33 sq cm

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