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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 487 · 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 96 sq cm and a length of 12 cm. What is its width? (a) 16 cm (b) 84 cm (c) 9 cm (d) 8 cm
  2. 2.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 26 cm (c) 13 cm (d) 22 cm
  3. 3.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 46 sq cm (c) 126 sq cm (d) 23 sq cm
  4. 4.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 22 sq cm (d) 121 sq cm
  5. 5.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 26 sq cm (d) 169 sq cm
  6. 6.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 50 cm (b) 136 cm (c) 25 cm (d) 42 cm
  7. 7.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 30 sq cm (d) 36 sq cm
  8. 8.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 34 sq cm (b) 66 sq cm (c) 77 sq cm (d) 17 sq cm
  9. 9.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 24 sq cm (d) 169 sq cm
  10. 10.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 22 cm (b) 120 cm (c) 34 cm (d) 44 cm
  11. 11.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 180 cm (b) 11 cm (c) 20 cm (d) 10 cm
  12. 12.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
  13. 13.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 48 sq cm (b) 36 sq cm (c) 32 sq cm (d) 18 sq cm
  14. 14.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  15. 15.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 150 cm (b) 40 cm (c) 25 cm (d) 50 cm
  16. 16.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 36 cm (c) 64 cm (d) 40 cm
  17. 17.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 102 cm (b) 7 cm (c) 14 cm (d) 8 cm
  18. 18.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
  19. 19.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 135 cm (c) 20 cm (d) 11 cm
  20. 20.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 58 sq cm (b) 29 sq cm (c) 209 sq cm (d) 190 sq cm
  21. 21.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 77 cm (b) 8 cm (c) 16 cm (d) 9 cm
  22. 22.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 27 cm (b) 32 cm (c) 55 cm (d) 16 cm
  23. 23.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
  24. 24.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 8 cm (b) 6 cm (c) 4 cm (d) 3 cm
  25. 25.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 48 cm (c) 38 cm (d) 35 cm
  26. 26.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 18 cm (d) 16 cm
  27. 27.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 18 sq cm (c) 27 sq cm (d) 11 sq cm
  28. 28.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 136 sq cm (b) 119 sq cm (c) 24 sq cm (d) 48 sq cm
  29. 29.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 44 sq cm (c) 14 sq cm (d) 33 sq cm
  30. 30.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 12 cm (c) 14 cm (d) 8 cm
  31. 31.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 13 sq cm (b) 22 sq cm (c) 33 sq cm (d) 26 sq cm
  32. 32.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 63 sq cm (c) 15 sq cm (d) 54 sq cm
  33. 33.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 18 sq cm (d) 36 sq cm
  34. 34.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 45 sq cm (b) 54 sq cm (c) 28 sq cm (d) 14 sq cm
  35. 35.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 26 cm (c) 60 cm (d) 16 cm
  36. 36.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 136 sq cm (c) 25 sq cm (d) 153 sq cm
  37. 37.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 3 cm (c) 4 cm (d) 2 cm
  38. 38.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 28 sq cm (c) 14 sq cm (d) 56 sq cm
  39. 39.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 128 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
  40. 40.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 108 cm

Answer key

  1. 8 cm
  2. 26 cm
  3. 126 sq cm
  4. 121 sq cm
  5. 169 sq cm
  6. 50 cm
  7. 30 sq cm
  8. 66 sq cm
  9. 144 sq cm
  10. 44 cm
  11. 10 cm
  12. 25 sq cm
  13. 32 sq cm
  14. 64 sq cm
  15. 50 cm
  16. 40 cm
  17. 7 cm
  18. 196 sq cm
  19. 10 cm
  20. 190 sq cm
  21. 8 cm
  22. 32 cm
  23. 36 sq cm
  24. 3 cm
  25. 38 cm
  26. 20 cm
  27. 18 sq cm
  28. 119 sq cm
  29. 33 sq cm
  30. 16 cm
  31. 22 sq cm
  32. 54 sq cm
  33. 81 sq cm
  34. 45 sq cm
  35. 32 cm
  36. 136 sq cm
  37. 2 cm
  38. 48 sq cm
  39. 128 sq cm
  40. 7 cm

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