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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 831 · 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 15 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 33 cm (d) 45 cm
  2. 2.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 169 sq cm (d) 48 sq cm
  3. 3.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 88 cm (b) 38 cm (c) 19 cm (d) 30 cm
  4. 4.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 13 cm (c) 26 cm (d) 22 cm
  5. 5.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 120 cm (b) 14 cm (c) 8 cm (d) 7 cm
  6. 6.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 16 cm (c) 60 cm (d) 32 cm
  7. 7.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 8 cm (c) 12 cm (d) 14 cm
  8. 8.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 2 cm (b) 3 cm (c) 9 cm (d) 4 cm
  9. 9.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 204 sq cm (b) 28 sq cm (c) 56 sq cm (d) 187 sq cm
  10. 10.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 32 cm (b) 16 cm (c) 39 cm (d) 29 cm
  11. 11.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 180 cm
  12. 12.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
  13. 13.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 30 cm (b) 4 cm (c) 5 cm (d) 8 cm
  14. 14.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
  15. 15.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 64 sq cm (d) 28 sq cm
  16. 16.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 62 sq cm (b) 247 sq cm (c) 31 sq cm (d) 228 sq cm
  17. 17.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 16 sq cm (d) 32 sq cm
  18. 18.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 28 cm (c) 18 cm (d) 22 cm
  19. 19.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
  20. 20.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 85 cm (c) 6 cm (d) 7 cm
  21. 21.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 52 sq cm (d) 26 sq cm
  22. 22.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 10 sq cm (d) 25 sq cm
  23. 23.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
  24. 24.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 25 cm (b) 154 cm (c) 39 cm (d) 50 cm
  25. 25.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 96 sq cm (b) 84 sq cm (c) 19 sq cm (d) 38 sq cm
  26. 26.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 44 sq cm (b) 117 sq cm (c) 130 sq cm (d) 22 sq cm
  27. 27.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 20 cm (b) 11 cm (c) 99 cm (d) 10 cm
  28. 28.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 50 sq cm (b) 156 sq cm (c) 25 sq cm (d) 169 sq cm
  29. 29.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 16 sq cm (b) 39 sq cm (c) 52 sq cm (d) 32 sq cm
  30. 30.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 24 sq cm (c) 35 sq cm (d) 12 sq cm
  31. 31.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 22 sq cm (c) 28 sq cm (d) 11 sq cm
  32. 32.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 90 cm (c) 8 cm (d) 14 cm
  33. 33.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
  34. 34.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 44 cm (b) 10 cm (c) 6 cm (d) 5 cm
  35. 35.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 17 cm (c) 11 cm (d) 30 cm
  36. 36.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 12 cm (c) 160 cm (d) 22 cm
  37. 37.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 13 cm (c) 24 cm (d) 26 cm
  38. 38.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 2 cm (c) 8 cm (d) 4 cm
  39. 39.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 240 sq cm (c) 220 sq cm (d) 62 sq cm
  40. 40.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 72 cm (b) 7 cm (c) 8 cm (d) 14 cm

Answer key

  1. 36 cm
  2. 144 sq cm
  3. 38 cm
  4. 26 cm
  5. 7 cm
  6. 32 cm
  7. 16 cm
  8. 2 cm
  9. 187 sq cm
  10. 32 cm
  11. 11 cm
  12. 7 cm
  13. 4 cm
  14. 196 sq cm
  15. 49 sq cm
  16. 228 sq cm
  17. 64 sq cm
  18. 22 cm
  19. 36 sq cm
  20. 6 cm
  21. 169 sq cm
  22. 25 sq cm
  23. 81 sq cm
  24. 50 cm
  25. 84 sq cm
  26. 117 sq cm
  27. 10 cm
  28. 156 sq cm
  29. 39 sq cm
  30. 35 sq cm
  31. 28 sq cm
  32. 7 cm
  33. 100 sq cm
  34. 5 cm
  35. 22 cm
  36. 11 cm
  37. 26 cm
  38. 2 cm
  39. 220 sq cm
  40. 7 cm

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