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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 399 · 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 8 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 20 cm (c) 10 cm (d) 18 cm
  2. 2.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 20 cm (c) 22 cm (d) 11 cm
  3. 3.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 42 cm (d) 108 cm
  4. 4.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 24 cm (c) 13 cm (d) 12 cm
  5. 5.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 19 cm (c) 24 cm (d) 35 cm
  6. 6.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 24 cm (b) 41 cm (c) 48 cm (d) 119 cm
  7. 7.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 75 sq cm (b) 90 sq cm (c) 20 sq cm (d) 40 sq cm
  8. 8.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 11 cm (c) 12 cm (d) 22 cm
  9. 9.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 180 sq cm (b) 56 sq cm (c) 28 sq cm (d) 160 sq cm
  10. 10.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
  11. 11.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 68 cm (c) 10 cm (d) 6 cm
  12. 12.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 80 cm (b) 6 cm (c) 10 cm (d) 5 cm
  13. 13.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 64 sq cm (d) 14 sq cm
  14. 14.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 17 cm (c) 20 cm (d) 21 cm
  15. 15.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 165 cm
  16. 16.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 44 sq cm (d) 33 sq cm
  17. 17.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 15 sq cm (c) 60 sq cm (d) 30 sq cm
  18. 18.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 108 cm (b) 33 cm (c) 21 cm (d) 42 cm
  19. 19.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 27 cm (c) 24 cm (d) 12 cm
  20. 20.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 19 cm (b) 34 cm (c) 60 cm (d) 38 cm
  21. 21.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 15 cm (b) 54 cm (c) 30 cm (d) 24 cm
  22. 22.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 169 sq cm (d) 24 sq cm
  23. 23.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 32 cm (c) 12 cm (d) 24 cm
  24. 24.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 44 cm (b) 35 cm (c) 117 cm (d) 22 cm
  25. 25.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 36 sq cm (c) 22 sq cm (d) 30 sq cm
  26. 26.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 126 cm
  27. 27.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 40 cm
  28. 28.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 16 sq cm (d) 64 sq cm
  29. 29.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 8 cm (c) 30 cm (d) 5 cm
  30. 30.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 88 cm
  31. 31.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 18 cm (b) 77 cm (c) 29 cm (d) 36 cm
  32. 32.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 85 cm (b) 22 cm (c) 39 cm (d) 44 cm
  33. 33.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 84 cm (b) 9 cm (c) 16 cm (d) 8 cm
  34. 34.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 234 sq cm (b) 216 sq cm (c) 30 sq cm (d) 60 sq cm
  35. 35.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 19 cm (c) 9 cm (d) 18 cm
  36. 36.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 16 cm (b) 63 cm (c) 9 cm (d) 8 cm
  37. 37.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 26 sq cm (d) 169 sq cm
  38. 38.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
  39. 39.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 14 cm (b) 4 cm (c) 6 cm (d) 3 cm
  40. 40.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 14 cm (c) 16 cm (d) 9 cm

Answer key

  1. 20 cm
  2. 22 cm
  3. 48 cm
  4. 12 cm
  5. 24 cm
  6. 48 cm
  7. 75 sq cm
  8. 11 cm
  9. 160 sq cm
  10. 36 sq cm
  11. 5 cm
  12. 5 cm
  13. 49 sq cm
  14. 20 cm
  15. 12 cm
  16. 33 sq cm
  17. 50 sq cm
  18. 42 cm
  19. 24 cm
  20. 38 cm
  21. 30 cm
  22. 144 sq cm
  23. 24 cm
  24. 44 cm
  25. 30 sq cm
  26. 10 cm
  27. 6 cm
  28. 64 sq cm
  29. 4 cm
  30. 9 cm
  31. 36 cm
  32. 44 cm
  33. 8 cm
  34. 216 sq cm
  35. 18 cm
  36. 8 cm
  37. 169 sq cm
  38. 25 sq cm
  39. 3 cm
  40. 18 cm

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