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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 953 · 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 has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 7 cm (b) 6 cm (c) 65 cm (d) 12 cm
  2. 2.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 38 cm (d) 96 cm
  3. 3.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 144 cm
  4. 4.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
  5. 5.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 3 cm (c) 12 cm (d) 4 cm
  6. 6.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
  7. 7.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 240 sq cm (b) 32 sq cm (c) 260 sq cm (d) 64 sq cm
  8. 8.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 39 sq cm (c) 52 sq cm (d) 16 sq cm
  9. 9.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 45 cm
  10. 10.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 32 cm (b) 240 cm (c) 64 cm (d) 52 cm
  11. 11.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 39 cm (b) 112 cm (c) 23 cm (d) 46 cm
  12. 12.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 9 cm (c) 119 cm (d) 16 cm
  13. 13.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 15 cm
  14. 14.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 38 sq cm (b) 90 sq cm (c) 19 sq cm (d) 100 sq cm
  15. 15.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 15 cm (c) 2 cm (d) 3 cm
  16. 16.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 8 cm (c) 18 cm (d) 5 cm
  17. 17.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 28 sq cm (d) 14 sq cm
  18. 18.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 90 cm (c) 46 cm (d) 41 cm
  19. 19.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 7 cm (c) 90 cm (d) 14 cm
  20. 20.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 112 cm
  21. 21.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 27 cm (b) 4 cm (c) 8 cm (d) 5 cm
  22. 22.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 133 sq cm (b) 50 sq cm (c) 25 sq cm (d) 114 sq cm
  23. 23.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  24. 24.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 120 sq cm (b) 42 sq cm (c) 108 sq cm (d) 21 sq cm
  25. 25.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
  26. 26.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 78 sq cm (d) 65 sq cm
  27. 27.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 62 sq cm (b) 247 sq cm (c) 228 sq cm (d) 31 sq cm
  28. 28.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
  29. 29.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 78 cm
  30. 30.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 55 sq cm (c) 15 sq cm (d) 44 sq cm
  31. 31.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 34 cm (c) 36 cm (d) 32 cm
  32. 32.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 40 sq cm (c) 20 sq cm (d) 75 sq cm
  33. 33.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 96 sq cm (d) 84 sq cm
  34. 34.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 12 cm (b) 20 cm (c) 32 cm (d) 24 cm
  35. 35.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 51 sq cm (d) 68 sq cm
  36. 36.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 34 cm (b) 27 cm (c) 17 cm (d) 70 cm
  37. 37.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  38. 38.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
  39. 39.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 8 cm (c) 16 cm (d) 14 cm
  40. 40.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 10 cm (c) 32 cm (d) 5 cm

Answer key

  1. 6 cm
  2. 44 cm
  3. 9 cm
  4. 81 sq cm
  5. 3 cm
  6. 196 sq cm
  7. 240 sq cm
  8. 39 sq cm
  9. 4 cm
  10. 64 cm
  11. 46 cm
  12. 8 cm
  13. 4 cm
  14. 90 sq cm
  15. 2 cm
  16. 4 cm
  17. 24 sq cm
  18. 46 cm
  19. 7 cm
  20. 9 cm
  21. 4 cm
  22. 114 sq cm
  23. 49 sq cm
  24. 108 sq cm
  25. 25 sq cm
  26. 65 sq cm
  27. 228 sq cm
  28. 28 cm
  29. 7 cm
  30. 44 sq cm
  31. 36 cm
  32. 75 sq cm
  33. 84 sq cm
  34. 24 cm
  35. 51 sq cm
  36. 34 cm
  37. 64 sq cm
  38. 144 sq cm
  39. 16 cm
  40. 5 cm

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