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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 20 · 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 11 cm long and 6 cm wide. What is its area? (a) 66 sq cm (b) 34 sq cm (c) 17 sq cm (d) 77 sq cm
  2. 2.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
  3. 3.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 176 cm (c) 13 cm (d) 24 cm
  4. 4.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 34 cm (c) 17 cm (d) 70 cm
  5. 5.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 13 cm (c) 22 cm (d) 26 cm
  6. 6.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 17 cm (c) 21 cm (d) 20 cm
  7. 7.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 144 cm (b) 10 cm (c) 11 cm (d) 20 cm
  8. 8.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 12 cm (c) 120 cm (d) 22 cm
  9. 9.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 85 cm (c) 7 cm (d) 6 cm
  10. 10.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 54 sq cm (c) 63 sq cm (d) 15 sq cm
  11. 11.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 31 cm (b) 62 cm (c) 51 cm (d) 220 cm
  12. 12.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 14 sq cm (d) 28 sq cm
  13. 13.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 20 cm (b) 10 cm (c) 99 cm (d) 11 cm
  14. 14.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 44 sq cm (b) 60 sq cm (c) 22 sq cm (d) 40 sq cm
  15. 15.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 5 cm (c) 60 cm (d) 6 cm
  16. 16.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 27 cm (b) 8 cm (c) 4 cm (d) 5 cm
  17. 17.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
  18. 18.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 33 cm (b) 38 cm (c) 70 cm (d) 19 cm
  19. 19.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 144 sq cm (d) 44 sq cm
  20. 20.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 44 cm (c) 144 cm (d) 52 cm
  21. 21.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 65 cm
  22. 22.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 70 cm (b) 7 cm (c) 6 cm (d) 12 cm
  23. 23.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 72 cm (b) 30 cm (c) 36 cm (d) 18 cm
  24. 24.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
  25. 25.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 12 sq cm (d) 49 sq cm
  26. 26.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 128 cm (b) 48 cm (c) 40 cm (d) 24 cm
  27. 27.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
  28. 28.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 23 cm (b) 76 cm (c) 46 cm (d) 42 cm
  29. 29.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 30 sq cm (c) 20 sq cm (d) 24 sq cm
  30. 30.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 46 sq cm (c) 130 sq cm (d) 23 sq cm
  31. 31.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 24 cm (c) 12 cm (d) 27 cm
  32. 32.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 4 cm (c) 3 cm (d) 6 cm
  33. 33.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 121 sq cm (d) 100 sq cm
  34. 34.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 10 cm (b) 5 cm (c) 32 cm (d) 6 cm
  35. 35.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 57 sq cm (d) 38 sq cm
  36. 36.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 50 cm (b) 144 cm (c) 25 cm (d) 41 cm
  37. 37.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 26 sq cm (c) 40 sq cm (d) 13 sq cm
  38. 38.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 15 cm (b) 24 cm (c) 54 cm (d) 30 cm
  39. 39.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 119 cm
  40. 40.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 18 cm

Answer key

  1. 66 sq cm
  2. 64 sq cm
  3. 12 cm
  4. 34 cm
  5. 26 cm
  6. 20 cm
  7. 10 cm
  8. 11 cm
  9. 6 cm
  10. 54 sq cm
  11. 62 cm
  12. 49 sq cm
  13. 10 cm
  14. 40 sq cm
  15. 5 cm
  16. 4 cm
  17. 144 sq cm
  18. 38 cm
  19. 121 sq cm
  20. 52 cm
  21. 6 cm
  22. 6 cm
  23. 36 cm
  24. 169 sq cm
  25. 36 sq cm
  26. 48 cm
  27. 30 cm
  28. 46 cm
  29. 24 sq cm
  30. 130 sq cm
  31. 24 cm
  32. 3 cm
  33. 100 sq cm
  34. 5 cm
  35. 38 sq cm
  36. 50 cm
  37. 40 sq cm
  38. 30 cm
  39. 8 cm
  40. 4 cm

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