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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 366 · 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 112 sq cm and a length of 16 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 96 cm
  2. 2.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 12 cm (b) 21 cm (c) 27 cm (d) 24 cm
  3. 3.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
  4. 4.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 84 sq cm (b) 19 sq cm (c) 38 sq cm (d) 96 sq cm
  5. 5.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 9 sq cm (c) 18 sq cm (d) 21 sq cm
  6. 6.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 130 cm
  7. 7.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 180 cm (c) 11 cm (d) 20 cm
  8. 8.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 220 sq cm (d) 200 sq cm
  9. 9.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
  10. 10.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 60 cm (b) 32 cm (c) 16 cm (d) 26 cm
  11. 11.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 49 sq cm
  12. 12.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 24 cm (b) 8 cm (c) 5 cm (d) 4 cm
  13. 13.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 119 sq cm (b) 23 sq cm (c) 102 sq cm (d) 46 sq cm
  14. 14.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
  15. 15.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
  16. 16.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 22 cm (c) 24 cm (d) 20 cm
  17. 17.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 18 sq cm (c) 16 sq cm (d) 12 sq cm
  18. 18.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 37 cm (b) 46 cm (c) 126 cm (d) 23 cm
  19. 19.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
  20. 20.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 18 cm (b) 29 cm (c) 77 cm (d) 36 cm
  21. 21.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 17 sq cm (c) 34 sq cm (d) 72 sq cm
  22. 22.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 46 sq cm (c) 80 sq cm (d) 23 sq cm
  23. 23.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 26 sq cm (c) 13 sq cm (d) 45 sq cm
  24. 24.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 27 cm
  25. 25.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 36 cm (b) 4 cm (c) 8 cm (d) 5 cm
  26. 26.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 48 sq cm (d) 40 sq cm
  27. 27.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 20 cm (c) 17 cm (d) 10 cm
  28. 28.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 70 cm
  29. 29.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 28 sq cm (c) 22 sq cm (d) 11 sq cm
  30. 30.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 42 sq cm (c) 56 sq cm (d) 34 sq cm
  31. 31.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 5 cm (c) 68 cm (d) 6 cm
  32. 32.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 144 cm (c) 10 cm (d) 9 cm
  33. 33.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 165 sq cm (b) 150 sq cm (c) 25 sq cm (d) 50 sq cm
  34. 34.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 41 cm (c) 46 cm (d) 90 cm
  35. 35.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 16 cm (c) 12 cm (d) 14 cm
  36. 36.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 42 cm (d) 20 cm
  37. 37.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 57 sq cm (d) 76 sq cm
  38. 38.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 32 sq cm (b) 55 sq cm (c) 16 sq cm (d) 66 sq cm
  39. 39.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 114 cm (d) 44 cm
  40. 40.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 42 sq cm (b) 112 sq cm (c) 21 sq cm (d) 98 sq cm

Answer key

  1. 7 cm
  2. 24 cm
  3. 64 sq cm
  4. 84 sq cm
  5. 14 sq cm
  6. 11 cm
  7. 10 cm
  8. 200 sq cm
  9. 25 sq cm
  10. 32 cm
  11. 36 sq cm
  12. 4 cm
  13. 102 sq cm
  14. 81 sq cm
  15. 169 sq cm
  16. 24 cm
  17. 12 sq cm
  18. 46 cm
  19. 196 sq cm
  20. 36 cm
  21. 72 sq cm
  22. 60 sq cm
  23. 36 sq cm
  24. 4 cm
  25. 4 cm
  26. 40 sq cm
  27. 20 cm
  28. 8 cm
  29. 28 sq cm
  30. 42 sq cm
  31. 5 cm
  32. 9 cm
  33. 150 sq cm
  34. 46 cm
  35. 16 cm
  36. 26 cm
  37. 57 sq cm
  38. 55 sq cm
  39. 50 cm
  40. 98 sq cm

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