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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 153 · 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 16 cm long and 8 cm wide. What is its perimeter? (a) 24 cm (b) 40 cm (c) 128 cm (d) 48 cm
  2. 2.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
  3. 3.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 14 cm (b) 24 cm (c) 40 cm (d) 28 cm
  4. 4.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 33 cm (c) 45 cm (d) 36 cm
  5. 5.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
  6. 6.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 18 sq cm (b) 70 sq cm (c) 36 sq cm (d) 56 sq cm
  7. 7.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 16 cm (c) 3 cm (d) 6 cm
  8. 8.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 99 cm (c) 10 cm (d) 20 cm
  9. 9.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 100 cm (b) 50 cm (c) 45 cm (d) 25 cm
  10. 10.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 240 sq cm (b) 220 sq cm (c) 62 sq cm (d) 31 sq cm
  11. 11.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 76 cm (b) 23 cm (c) 42 cm (d) 46 cm
  12. 12.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 52 cm (b) 6 cm (c) 5 cm (d) 10 cm
  13. 13.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
  14. 14.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 143 sq cm (b) 156 sq cm (c) 24 sq cm (d) 48 sq cm
  15. 15.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 108 sq cm (b) 96 sq cm (c) 40 sq cm (d) 20 sq cm
  16. 16.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
  17. 17.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 225 sq cm (d) 28 sq cm
  18. 18.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 44 sq cm (d) 22 sq cm
  19. 19.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
  20. 20.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 56 sq cm (c) 42 sq cm (d) 34 sq cm
  21. 21.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 120 sq cm (d) 105 sq cm
  22. 22.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
  23. 23.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 2 cm
  24. 24.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 96 cm
  25. 25.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 56 sq cm (c) 14 sq cm (d) 28 sq cm
  26. 26.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 14 cm (b) 108 cm (c) 7 cm (d) 8 cm
  27. 27.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
  28. 28.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 65 cm (b) 36 cm (c) 31 cm (d) 18 cm
  29. 29.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 18 cm (b) 128 cm (c) 9 cm (d) 10 cm
  30. 30.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 66 cm (b) 7 cm (c) 8 cm (d) 14 cm
  31. 31.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 13 cm (c) 26 cm (d) 36 cm
  32. 32.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 22 sq cm (c) 11 sq cm (d) 27 sq cm
  33. 33.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 24 sq cm (c) 28 sq cm (d) 36 sq cm
  34. 34.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 35 sq cm (b) 24 sq cm (c) 42 sq cm (d) 12 sq cm
  35. 35.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 45 cm (b) 162 cm (c) 54 cm (d) 27 cm
  36. 36.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 11 sq cm (c) 36 sq cm (d) 22 sq cm
  37. 37.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
  38. 38.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 180 cm
  39. 39.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 9 cm (c) 10 cm (d) 136 cm
  40. 40.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 32 sq cm (c) 24 sq cm (d) 11 sq cm

Answer key

  1. 48 cm
  2. 81 sq cm
  3. 28 cm
  4. 36 cm
  5. 25 sq cm
  6. 56 sq cm
  7. 3 cm
  8. 10 cm
  9. 50 cm
  10. 220 sq cm
  11. 46 cm
  12. 5 cm
  13. 16 cm
  14. 143 sq cm
  15. 96 sq cm
  16. 36 sq cm
  17. 196 sq cm
  18. 121 sq cm
  19. 28 sq cm
  20. 42 sq cm
  21. 105 sq cm
  22. 169 sq cm
  23. 2 cm
  24. 9 cm
  25. 48 sq cm
  26. 7 cm
  27. 144 sq cm
  28. 36 cm
  29. 9 cm
  30. 7 cm
  31. 26 cm
  32. 18 sq cm
  33. 24 sq cm
  34. 35 sq cm
  35. 54 cm
  36. 30 sq cm
  37. 12 cm
  38. 11 cm
  39. 9 cm
  40. 24 sq cm

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