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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 488 · 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 has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 22 cm (c) 12 cm (d) 11 cm
  2. 2.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 18 cm (c) 96 cm (d) 9 cm
  3. 3.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
  4. 4.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 77 sq cm (d) 88 sq cm
  5. 5.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 90 cm (b) 23 cm (c) 41 cm (d) 46 cm
  6. 6.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 42 sq cm (d) 28 sq cm
  7. 7.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 44 cm (b) 28 cm (c) 56 cm (d) 192 cm
  8. 8.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 48 cm (b) 8 cm (c) 14 cm (d) 7 cm
  9. 9.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 18 cm (b) 5 cm (c) 8 cm (d) 4 cm
  10. 10.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 34 sq cm (b) 72 sq cm (c) 60 sq cm (d) 17 sq cm
  11. 11.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 190 sq cm (b) 209 sq cm (c) 29 sq cm (d) 58 sq cm
  12. 12.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 31 cm (b) 18 cm (c) 36 cm (d) 65 cm
  13. 13.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 38 sq cm (b) 90 sq cm (c) 19 sq cm (d) 100 sq cm
  14. 14.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 45 cm (b) 54 cm (c) 162 cm (d) 27 cm
  15. 15.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 11 cm (c) 22 cm (d) 190 cm
  16. 16.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 133 cm (b) 26 cm (c) 45 cm (d) 52 cm
  17. 17.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 52 sq cm (b) 180 sq cm (c) 165 sq cm (d) 26 sq cm
  18. 18.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 49 sq cm (d) 12 sq cm
  19. 19.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
  20. 20.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 66 cm (c) 17 cm (d) 28 cm
  21. 21.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 160 sq cm (b) 26 sq cm (c) 176 sq cm (d) 52 sq cm
  22. 22.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 198 sq cm (b) 56 sq cm (c) 28 sq cm (d) 180 sq cm
  23. 23.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
  24. 24.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 51 cm (b) 31 cm (c) 62 cm (d) 220 cm
  25. 25.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 48 sq cm (c) 15 sq cm (d) 36 sq cm
  26. 26.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 22 sq cm (d) 44 sq cm
  27. 27.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 18 sq cm (c) 16 sq cm (d) 12 sq cm
  28. 28.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 22 sq cm (c) 36 sq cm (d) 11 sq cm
  29. 29.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 18 sq cm (c) 19 sq cm (d) 9 sq cm
  30. 30.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 30 cm (b) 23 cm (c) 56 cm (d) 15 cm
  31. 31.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
  32. 32.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 12 cm (c) 19 cm (d) 24 cm
  33. 33.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 84 cm (d) 34 cm
  34. 34.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 54 sq cm (b) 42 sq cm (c) 21 sq cm (d) 72 sq cm
  35. 35.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 21 cm (c) 36 cm (d) 90 cm
  36. 36.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 1 cm
  37. 37.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 26 cm (b) 30 cm (c) 15 cm (d) 44 cm
  38. 38.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 12 sq cm (c) 32 sq cm (d) 24 sq cm
  39. 39.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 18 cm (c) 128 cm (d) 10 cm
  40. 40.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 165 sq cm (d) 150 sq cm

Answer key

  1. 11 cm
  2. 9 cm
  3. 196 sq cm
  4. 77 sq cm
  5. 46 cm
  6. 28 sq cm
  7. 56 cm
  8. 7 cm
  9. 4 cm
  10. 60 sq cm
  11. 190 sq cm
  12. 36 cm
  13. 90 sq cm
  14. 54 cm
  15. 11 cm
  16. 52 cm
  17. 165 sq cm
  18. 36 sq cm
  19. 144 sq cm
  20. 34 cm
  21. 160 sq cm
  22. 180 sq cm
  23. 64 sq cm
  24. 62 cm
  25. 36 sq cm
  26. 121 sq cm
  27. 12 sq cm
  28. 30 sq cm
  29. 18 sq cm
  30. 30 cm
  31. 25 sq cm
  32. 24 cm
  33. 40 cm
  34. 54 sq cm
  35. 42 cm
  36. 2 cm
  37. 30 cm
  38. 32 sq cm
  39. 9 cm
  40. 150 sq cm

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