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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 860 · 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 14 cm long and 8 cm wide. What is its area? (a) 126 sq cm (b) 44 sq cm (c) 112 sq cm (d) 22 sq cm
  2. 2.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 35 cm (d) 19 cm
  3. 3.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 3 cm (b) 22 cm (c) 4 cm (d) 6 cm
  4. 4.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 13 sq cm (c) 22 sq cm (d) 26 sq cm
  5. 5.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 41 cm (b) 44 cm (c) 22 cm (d) 57 cm
  6. 6.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 32 sq cm (d) 24 sq cm
  7. 7.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 96 cm (c) 9 cm (d) 18 cm
  8. 8.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 45 cm (b) 7 cm (c) 12 cm (d) 6 cm
  9. 9.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
  10. 10.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 108 cm (b) 21 cm (c) 42 cm (d) 33 cm
  11. 11.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 30 sq cm (b) 228 sq cm (c) 209 sq cm (d) 60 sq cm
  12. 12.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 24 cm (c) 12 cm (d) 22 cm
  13. 13.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 11 sq cm (d) 30 sq cm
  14. 14.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 32 sq cm (d) 81 sq cm
  15. 15.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 182 sq cm (b) 26 sq cm (c) 168 sq cm (d) 52 sq cm
  16. 16.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 38 sq cm (b) 96 sq cm (c) 19 sq cm (d) 84 sq cm
  17. 17.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 20 sq cm (b) 99 sq cm (c) 40 sq cm (d) 110 sq cm
  18. 18.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 49 sq cm (c) 26 sq cm (d) 13 sq cm
  19. 19.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
  20. 20.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 34 cm (c) 17 cm (d) 70 cm
  21. 21.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 140 cm (c) 54 cm (d) 47 cm
  22. 22.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 52 sq cm (b) 34 sq cm (c) 17 sq cm (d) 65 sq cm
  23. 23.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 10 sq cm (d) 36 sq cm
  24. 24.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 3 cm (c) 14 cm (d) 2 cm
  25. 25.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 66 sq cm (b) 55 sq cm (c) 16 sq cm (d) 32 sq cm
  26. 26.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 14 sq cm (d) 21 sq cm
  27. 27.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 3 cm (c) 26 cm (d) 6 cm
  28. 28.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 10 cm (c) 28 cm (d) 5 cm
  29. 29.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 3 cm (b) 2 cm (c) 9 cm (d) 4 cm
  30. 30.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 56 sq cm (d) 225 sq cm
  31. 31.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 40 sq cm (d) 100 sq cm
  32. 32.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 30 sq cm (d) 60 sq cm
  33. 33.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 39 cm (b) 48 cm (c) 24 cm (d) 135 cm
  34. 34.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 32 cm (b) 29 cm (c) 16 cm (d) 39 cm
  35. 35.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 44 cm (b) 192 cm (c) 28 cm (d) 56 cm
  36. 36.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 54 sq cm (d) 72 sq cm
  37. 37.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 90 sq cm (b) 80 sq cm (c) 36 sq cm (d) 18 sq cm
  38. 38.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 28 sq cm (d) 21 sq cm
  39. 39.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 160 cm (b) 48 cm (c) 28 cm (d) 56 cm
  40. 40.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 91 cm (c) 8 cm (d) 16 cm

Answer key

  1. 112 sq cm
  2. 24 cm
  3. 3 cm
  4. 22 sq cm
  5. 44 cm
  6. 24 sq cm
  7. 9 cm
  8. 6 cm
  9. 169 sq cm
  10. 42 cm
  11. 209 sq cm
  12. 24 cm
  13. 30 sq cm
  14. 64 sq cm
  15. 168 sq cm
  16. 84 sq cm
  17. 99 sq cm
  18. 42 sq cm
  19. 81 sq cm
  20. 34 cm
  21. 54 cm
  22. 52 sq cm
  23. 25 sq cm
  24. 2 cm
  25. 55 sq cm
  26. 14 sq cm
  27. 3 cm
  28. 5 cm
  29. 2 cm
  30. 196 sq cm
  31. 100 sq cm
  32. 225 sq cm
  33. 48 cm
  34. 32 cm
  35. 56 cm
  36. 54 sq cm
  37. 80 sq cm
  38. 21 sq cm
  39. 56 cm
  40. 8 cm

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