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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 813 · 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 19 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 42 cm (c) 21 cm (d) 38 cm
  2. 2.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 165 cm (c) 24 cm (d) 13 cm
  3. 3.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm
  4. 4.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 3 cm (b) 24 cm (c) 6 cm (d) 4 cm
  5. 5.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 126 sq cm (d) 144 sq cm
  6. 6.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 20 cm (c) 24 cm (d) 12 cm
  7. 7.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 45 sq cm (c) 13 sq cm (d) 26 sq cm
  8. 8.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
  9. 9.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 32 cm (d) 110 cm
  10. 10.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 88 sq cm (b) 36 sq cm (c) 77 sq cm (d) 18 sq cm
  11. 11.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 14 cm (b) 7 cm (c) 72 cm (d) 8 cm
  12. 12.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 20 sq cm (d) 121 sq cm
  13. 13.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 10 sq cm (d) 30 sq cm
  14. 14.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 46 sq cm (b) 76 sq cm (c) 23 sq cm (d) 95 sq cm
  15. 15.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 6 cm (c) 4 cm (d) 3 cm
  16. 16.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 28 cm (c) 10 cm (d) 5 cm
  17. 17.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 54 sq cm (d) 63 sq cm
  18. 18.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 56 sq cm (b) 34 sq cm (c) 42 sq cm (d) 17 sq cm
  19. 19.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 126 cm (c) 16 cm (d) 9 cm
  20. 20.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 7 cm (b) 14 cm (c) 108 cm (d) 8 cm
  21. 21.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 38 cm
  22. 22.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 51 sq cm (b) 20 sq cm (c) 68 sq cm (d) 40 sq cm
  23. 23.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 48 cm (b) 6 cm (c) 10 cm (d) 5 cm
  24. 24.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 26 sq cm (d) 196 sq cm
  25. 25.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 10 sq cm (d) 36 sq cm
  26. 26.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 64 sq cm (c) 15 sq cm (d) 30 sq cm
  27. 27.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 24 cm (c) 10 cm (d) 20 cm
  28. 28.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 120 cm (b) 52 cm (c) 26 cm (d) 46 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 square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 12 sq cm (d) 49 sq cm
  31. 31.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 76 sq cm (b) 22 sq cm (c) 57 sq cm (d) 44 sq cm
  32. 32.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 40 cm (b) 168 cm (c) 52 cm (d) 26 cm
  33. 33.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 14 cm (b) 8 cm (c) 120 cm (d) 7 cm
  34. 34.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
  35. 35.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 200 cm (b) 12 cm (c) 11 cm (d) 22 cm
  36. 36.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 30 sq cm (d) 256 sq cm
  37. 37.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 8 cm (c) 112 cm (d) 16 cm
  38. 38.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 36 cm (d) 22 cm
  39. 39.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) 180 cm (d) 11 cm
  40. 40.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 160 sq cm (b) 140 sq cm (c) 27 sq cm (d) 54 sq cm

Answer key

  1. 42 cm
  2. 12 cm
  3. 49 sq cm
  4. 3 cm
  5. 126 sq cm
  6. 24 cm
  7. 36 sq cm
  8. 81 sq cm
  9. 42 cm
  10. 77 sq cm
  11. 7 cm
  12. 100 sq cm
  13. 24 sq cm
  14. 76 sq cm
  15. 3 cm
  16. 5 cm
  17. 54 sq cm
  18. 42 sq cm
  19. 8 cm
  20. 7 cm
  21. 3 cm
  22. 51 sq cm
  23. 5 cm
  24. 169 sq cm
  25. 25 sq cm
  26. 56 sq cm
  27. 20 cm
  28. 52 cm
  29. 9 cm
  30. 36 sq cm
  31. 57 sq cm
  32. 52 cm
  33. 7 cm
  34. 196 sq cm
  35. 11 cm
  36. 225 sq cm
  37. 8 cm
  38. 26 cm
  39. 10 cm
  40. 140 sq cm

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