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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 384 · 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 7 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 72 sq cm (d) 63 sq cm
  2. 2.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
  3. 3.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 49 sq cm (d) 28 sq cm
  4. 4.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 34 cm (c) 3 cm (d) 6 cm
  5. 5.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 48 cm (b) 24 cm (c) 43 cm (d) 95 cm
  6. 6.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 34 cm (c) 32 cm (d) 18 cm
  7. 7.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
  8. 8.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 46 sq cm (c) 23 sq cm (d) 126 sq cm
  9. 9.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 14 sq cm (c) 21 sq cm (d) 9 sq cm
  10. 10.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 121 sq cm (d) 44 sq cm
  11. 11.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 32 sq cm (d) 16 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 has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 119 cm
  14. 14.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 228 sq cm (b) 31 sq cm (c) 62 sq cm (d) 247 sq cm
  15. 15.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
  16. 16.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
  17. 17.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 180 cm (c) 12 cm (d) 11 cm
  18. 18.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 57 cm (b) 8 cm (c) 5 cm (d) 4 cm
  19. 19.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 41 cm (c) 90 cm (d) 46 cm
  20. 20.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 13 cm (b) 220 cm (c) 24 cm (d) 12 cm
  21. 21.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 54 cm (d) 39 cm
  22. 22.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 20 sq cm (d) 36 sq cm
  23. 23.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 28 cm (c) 15 cm (d) 30 cm
  24. 24.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 162 cm
  25. 25.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 19 cm (c) 24 cm (d) 22 cm
  26. 26.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 95 cm
  27. 27.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 48 sq cm (c) 15 sq cm (d) 30 sq cm
  28. 28.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 49 sq cm
  29. 29.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 17 cm (b) 52 cm (c) 30 cm (d) 34 cm
  30. 30.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
  31. 31.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 35 cm (b) 12 cm (c) 7 cm (d) 6 cm
  32. 32.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 40 cm (c) 24 cm (d) 14 cm
  33. 33.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 45 cm (b) 26 cm (c) 52 cm (d) 133 cm
  34. 34.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 36 cm (c) 20 cm (d) 64 cm
  35. 35.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 54 sq cm (d) 36 sq cm
  36. 36.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 99 sq cm (b) 19 sq cm (c) 38 sq cm (d) 88 sq cm
  37. 37.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 108 sq cm (d) 96 sq cm
  38. 38.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 65 sq cm (b) 52 sq cm (c) 17 sq cm (d) 34 sq cm
  39. 39.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 66 cm (b) 14 cm (c) 8 cm (d) 7 cm
  40. 40.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 63 sq cm (d) 54 sq cm

Answer key

  1. 63 sq cm
  2. 18 cm
  3. 49 sq cm
  4. 3 cm
  5. 48 cm
  6. 36 cm
  7. 144 sq cm
  8. 126 sq cm
  9. 14 sq cm
  10. 121 sq cm
  11. 64 sq cm
  12. 24 cm
  13. 8 cm
  14. 228 sq cm
  15. 50 cm
  16. 225 sq cm
  17. 11 cm
  18. 4 cm
  19. 46 cm
  20. 12 cm
  21. 42 cm
  22. 25 sq cm
  23. 30 cm
  24. 10 cm
  25. 22 cm
  26. 6 cm
  27. 36 sq cm
  28. 36 sq cm
  29. 34 cm
  30. 196 sq cm
  31. 6 cm
  32. 28 cm
  33. 52 cm
  34. 40 cm
  35. 36 sq cm
  36. 88 sq cm
  37. 96 sq cm
  38. 52 sq cm
  39. 7 cm
  40. 54 sq cm

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