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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 919 · 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 5 cm wide. What is its perimeter? (a) 13 cm (b) 40 cm (c) 26 cm (d) 21 cm
  2. 2.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
  3. 3.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
  4. 4.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 26 cm
  5. 5.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 20 cm (b) 126 cm (c) 10 cm (d) 11 cm
  6. 6.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 14 cm (c) 16 cm (d) 18 cm
  7. 7.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 16 cm (c) 32 cm (d) 25 cm
  8. 8.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 16 sq cm (d) 81 sq cm
  9. 9.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 68 cm (d) 38 cm
  10. 10.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 16 cm (c) 28 cm (d) 32 cm
  11. 11.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 30 cm (c) 52 cm (d) 17 cm
  12. 12.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 45 cm (b) 5 cm (c) 4 cm (d) 8 cm
  13. 13.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 15 sq cm (c) 54 sq cm (d) 30 sq cm
  14. 14.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 30 cm (b) 200 cm (c) 60 cm (d) 50 cm
  15. 15.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 96 cm (b) 38 cm (c) 44 cm (d) 22 cm
  16. 16.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
  17. 17.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 16 cm (b) 119 cm (c) 9 cm (d) 8 cm
  18. 18.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
  19. 19.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
  20. 20.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 23 sq cm (c) 130 sq cm (d) 46 sq cm
  21. 21.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 11 sq cm (c) 22 sq cm (d) 18 sq cm
  22. 22.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 190 cm (b) 29 cm (c) 58 cm (d) 48 cm
  23. 23.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 120 cm (b) 34 cm (c) 44 cm (d) 22 cm
  24. 24.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 20 cm (d) 18 cm
  25. 25.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 8 cm (b) 5 cm (c) 18 cm (d) 4 cm
  26. 26.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 28 sq cm (c) 14 sq cm (d) 36 sq cm
  27. 27.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 14 cm (c) 16 cm (d) 12 cm
  28. 28.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 11 cm
  29. 29.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 27 cm (b) 162 cm (c) 45 cm (d) 54 cm
  30. 30.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 176 sq cm (b) 27 sq cm (c) 54 sq cm (d) 192 sq cm
  31. 31.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 48 cm (b) 24 cm (c) 42 cm (d) 108 cm
  32. 32.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 38 sq cm (b) 84 sq cm (c) 19 sq cm (d) 70 sq cm
  33. 33.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
  34. 34.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 11 sq cm (c) 32 sq cm (d) 22 sq cm
  35. 35.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 78 sq cm (c) 65 sq cm (d) 18 sq cm
  36. 36.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 48 sq cm (c) 28 sq cm (d) 14 sq cm
  37. 37.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 30 cm (b) 3 cm (c) 4 cm (d) 6 cm
  38. 38.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 72 cm (d) 40 cm
  39. 39.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
  40. 40.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 10 sq cm (d) 20 sq cm

Answer key

  1. 26 cm
  2. 144 sq cm
  3. 11 cm
  4. 3 cm
  5. 10 cm
  6. 18 cm
  7. 32 cm
  8. 64 sq cm
  9. 42 cm
  10. 32 cm
  11. 34 cm
  12. 4 cm
  13. 54 sq cm
  14. 60 cm
  15. 44 cm
  16. 196 sq cm
  17. 8 cm
  18. 225 sq cm
  19. 36 sq cm
  20. 130 sq cm
  21. 18 sq cm
  22. 58 cm
  23. 44 cm
  24. 20 cm
  25. 4 cm
  26. 24 sq cm
  27. 16 cm
  28. 2 cm
  29. 54 cm
  30. 176 sq cm
  31. 48 cm
  32. 70 sq cm
  33. 169 sq cm
  34. 24 sq cm
  35. 65 sq cm
  36. 48 sq cm
  37. 3 cm
  38. 44 cm
  39. 81 sq cm
  40. 24 sq cm

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