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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 853 · 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 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 54 sq cm (d) 45 sq cm
  2. 2.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 6 cm
  3. 3.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 18 cm (b) 9 cm (c) 120 cm (d) 10 cm
  4. 4.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 72 cm (c) 40 cm (d) 22 cm
  5. 5.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 18 sq cm (c) 9 sq cm (d) 14 sq cm
  6. 6.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 32 cm (c) 20 cm (d) 96 cm
  7. 7.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 24 cm (c) 12 cm (d) 13 cm
  8. 8.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 26 sq cm (d) 52 sq cm
  9. 9.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 29 cm (b) 77 cm (c) 18 cm (d) 36 cm
  10. 10.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 64 sq cm (c) 56 sq cm (d) 30 sq cm
  11. 11.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 48 cm (c) 16 cm (d) 32 cm
  12. 12.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
  13. 13.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 64 sq cm (d) 14 sq cm
  14. 14.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
  15. 15.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 38 sq cm (b) 78 sq cm (c) 19 sq cm (d) 91 sq cm
  16. 16.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 12 cm (d) 8 cm
  17. 17.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 44 sq cm (b) 117 sq cm (c) 22 sq cm (d) 130 sq cm
  18. 18.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 27 sq cm (c) 12 sq cm (d) 24 sq cm
  19. 19.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 12 sq cm (c) 35 sq cm (d) 24 sq cm
  20. 20.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
  21. 21.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 50 sq cm (b) 40 sq cm (c) 28 sq cm (d) 14 sq cm
  22. 22.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 22 cm (c) 11 cm (d) 24 cm
  23. 23.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 14 cm
  24. 24.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 105 cm (b) 16 cm (c) 8 cm (d) 9 cm
  25. 25.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
  26. 26.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 24 sq cm (c) 20 sq cm (d) 10 sq cm
  27. 27.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 121 sq cm (d) 40 sq cm
  28. 28.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
  29. 29.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 26 cm (b) 153 cm (c) 52 cm (d) 43 cm
  30. 30.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 98 cm (b) 9 cm (c) 16 cm (d) 8 cm
  31. 31.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 176 cm (b) 43 cm (c) 27 cm (d) 54 cm
  32. 32.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 120 sq cm (b) 135 sq cm (c) 46 sq cm (d) 23 sq cm
  33. 33.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 144 cm (b) 10 cm (c) 18 cm (d) 9 cm
  34. 34.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 110 sq cm (d) 99 sq cm
  35. 35.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 34 sq cm (c) 56 sq cm (d) 17 sq cm
  36. 36.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 64 sq cm (b) 48 sq cm (c) 19 sq cm (d) 38 sq cm
  37. 37.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 7 cm (b) 100 cm (c) 12 cm (d) 6 cm
  38. 38.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 48 sq cm (b) 154 sq cm (c) 24 sq cm (d) 140 sq cm
  39. 39.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 20 cm (c) 11 cm (d) 10 cm
  40. 40.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 19 cm (d) 35 cm

Answer key

  1. 45 sq cm
  2. 2 cm
  3. 9 cm
  4. 44 cm
  5. 14 sq cm
  6. 40 cm
  7. 12 cm
  8. 169 sq cm
  9. 36 cm
  10. 56 sq cm
  11. 32 cm
  12. 36 sq cm
  13. 49 sq cm
  14. 144 sq cm
  15. 78 sq cm
  16. 16 cm
  17. 117 sq cm
  18. 27 sq cm
  19. 35 sq cm
  20. 196 sq cm
  21. 40 sq cm
  22. 22 cm
  23. 3 cm
  24. 8 cm
  25. 64 sq cm
  26. 16 sq cm
  27. 100 sq cm
  28. 68 sq cm
  29. 52 cm
  30. 8 cm
  31. 54 cm
  32. 120 sq cm
  33. 9 cm
  34. 99 sq cm
  35. 42 sq cm
  36. 48 sq cm
  37. 6 cm
  38. 140 sq cm
  39. 10 cm
  40. 24 cm

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