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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 843 · 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 3 cm wide. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 27 sq cm
  2. 2.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 20 cm (c) 117 cm (d) 11 cm
  3. 3.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 27 cm
  4. 4.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 18 cm (c) 36 cm (d) 72 cm
  5. 5.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 70 cm
  6. 6.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
  7. 7.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 152 sq cm (d) 171 sq cm
  8. 8.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 66 cm (c) 14 cm (d) 7 cm
  9. 9.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 100 sq cm (d) 36 sq cm
  10. 10.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 23 sq cm (b) 90 sq cm (c) 46 sq cm (d) 108 sq cm
  11. 11.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 38 cm (b) 29 cm (c) 90 cm (d) 19 cm
  12. 12.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 34 cm (c) 32 cm (d) 36 cm
  13. 13.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
  14. 14.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 27 sq cm (b) 162 sq cm (c) 54 sq cm (d) 180 sq cm
  15. 15.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
  16. 16.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 40 cm (b) 26 cm (c) 52 cm (d) 168 cm
  17. 17.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
  18. 18.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 130 cm (b) 46 cm (c) 23 cm (d) 36 cm
  19. 19.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 9 cm (c) 14 cm (d) 16 cm
  20. 20.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 25 sq cm (b) 160 sq cm (c) 144 sq cm (d) 50 sq cm
  21. 21.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 1 cm (b) 3 cm (c) 2 cm (d) 4 cm
  22. 22.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 17 cm (c) 11 cm (d) 22 cm
  23. 23.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 45 cm (c) 4 cm (d) 8 cm
  24. 24.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 100 sq cm (d) 20 sq cm
  25. 25.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm
  26. 26.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 7 cm
  27. 27.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 88 cm
  28. 28.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 48 cm (b) 7 cm (c) 8 cm (d) 14 cm
  29. 29.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 30 cm (b) 216 cm (c) 48 cm (d) 60 cm
  30. 30.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 58 sq cm (c) 29 sq cm (d) 200 sq cm
  31. 31.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 91 cm (b) 9 cm (c) 16 cm (d) 8 cm
  32. 32.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 36 cm (b) 77 cm (c) 29 cm (d) 18 cm
  33. 33.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 34 cm (c) 4 cm (d) 3 cm
  34. 34.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 50 sq cm (b) 14 sq cm (c) 28 sq cm (d) 40 sq cm
  35. 35.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 44 cm (b) 54 cm (c) 27 cm (d) 170 cm
  36. 36.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 65 sq cm (d) 52 sq cm
  37. 37.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 228 cm (b) 31 cm (c) 62 cm (d) 50 cm
  38. 38.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
  39. 39.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 26 sq cm (d) 52 sq cm
  40. 40.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 35 cm (d) 48 cm

Answer key

  1. 27 sq cm
  2. 10 cm
  3. 4 cm
  4. 36 cm
  5. 6 cm
  6. 49 sq cm
  7. 152 sq cm
  8. 7 cm
  9. 81 sq cm
  10. 90 sq cm
  11. 38 cm
  12. 36 cm
  13. 36 sq cm
  14. 162 sq cm
  15. 196 sq cm
  16. 52 cm
  17. 144 sq cm
  18. 46 cm
  19. 18 cm
  20. 144 sq cm
  21. 2 cm
  22. 22 cm
  23. 4 cm
  24. 100 sq cm
  25. 64 sq cm
  26. 2 cm
  27. 9 cm
  28. 7 cm
  29. 60 cm
  30. 180 sq cm
  31. 8 cm
  32. 36 cm
  33. 3 cm
  34. 40 sq cm
  35. 54 cm
  36. 52 sq cm
  37. 62 cm
  38. 121 sq cm
  39. 169 sq cm
  40. 38 cm

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