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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 323 · 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 square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 169 sq cm (d) 196 sq cm
  2. 2.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 22 sq cm (d) 144 sq cm
  3. 3.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 80 sq cm (c) 96 sq cm (d) 21 sq cm
  4. 4.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
  5. 5.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 6 cm (c) 75 cm (d) 12 cm
  6. 6.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  7. 7.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 66 cm (c) 8 cm (d) 14 cm
  8. 8.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 24 cm (d) 16 cm
  9. 9.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 100 sq cm (d) 20 sq cm
  10. 10.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 16 sq cm (d) 81 sq cm
  11. 11.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 5 cm (c) 42 cm (d) 4 cm
  12. 12.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 16 cm
  13. 13.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 40 sq cm (c) 26 sq cm (d) 13 sq cm
  14. 14.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 36 cm (b) 46 cm (c) 23 cm (d) 130 cm
  15. 15.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 32 cm (b) 39 cm (c) 29 cm (d) 16 cm
  16. 16.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 40 cm (c) 14 cm (d) 24 cm
  17. 17.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 4 cm (c) 20 cm (d) 2 cm
  18. 18.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 28 cm
  19. 19.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 160 cm (c) 11 cm (d) 12 cm
  20. 20.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 33 cm (c) 70 cm (d) 38 cm
  21. 21.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 51 sq cm (d) 34 sq cm
  22. 22.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 60 sq cm (d) 70 sq cm
  23. 23.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
  24. 24.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 18 cm (b) 65 cm (c) 31 cm (d) 36 cm
  25. 25.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 4 cm (c) 8 cm (d) 3 cm
  26. 26.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 171 cm (c) 20 cm (d) 10 cm
  27. 27.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 48 sq cm (d) 14 sq cm
  28. 28.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
  29. 29.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 76 cm (b) 42 cm (c) 23 cm (d) 46 cm
  30. 30.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 21 sq cm (d) 14 sq cm
  31. 31.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 128 sq cm (d) 48 sq cm
  32. 32.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 108 cm (c) 11 cm (d) 10 cm
  33. 33.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 84 cm (c) 40 cm (d) 34 cm
  34. 34.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 40 cm (b) 37 cm (c) 20 cm (d) 51 cm
  35. 35.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 95 sq cm (d) 114 sq cm
  36. 36.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 70 cm
  37. 37.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 170 cm (b) 11 cm (c) 22 cm (d) 12 cm
  38. 38.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 112 cm (c) 18 cm (d) 9 cm
  39. 39.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 46 sq cm (b) 108 sq cm (c) 23 sq cm (d) 90 sq cm
  40. 40.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 36 cm

Answer key

  1. 169 sq cm
  2. 121 sq cm
  3. 80 sq cm
  4. 36 sq cm
  5. 6 cm
  6. 49 sq cm
  7. 7 cm
  8. 20 cm
  9. 100 sq cm
  10. 64 sq cm
  11. 4 cm
  12. 3 cm
  13. 30 sq cm
  14. 46 cm
  15. 32 cm
  16. 28 cm
  17. 2 cm
  18. 5 cm
  19. 11 cm
  20. 38 cm
  21. 34 sq cm
  22. 60 sq cm
  23. 25 sq cm
  24. 36 cm
  25. 3 cm
  26. 10 cm
  27. 48 sq cm
  28. 70 sq cm
  29. 46 cm
  30. 14 sq cm
  31. 128 sq cm
  32. 10 cm
  33. 40 cm
  34. 40 cm
  35. 95 sq cm
  36. 6 cm
  37. 11 cm
  38. 9 cm
  39. 90 sq cm
  40. 4 cm

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