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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 54 · 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 15 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 10 cm
  2. 2.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 24 cm (d) 16 cm
  3. 3.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 77 sq cm (b) 36 sq cm (c) 88 sq cm (d) 18 sq cm
  4. 4.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 32 cm (b) 240 cm (c) 52 cm (d) 64 cm
  5. 5.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 6 cm (c) 100 cm (d) 7 cm
  6. 6.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 27 cm (b) 54 cm (c) 152 cm (d) 46 cm
  7. 7.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 21 cm (b) 40 cm (c) 38 cm (d) 42 cm
  8. 8.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 28 sq cm (d) 14 sq cm
  9. 9.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 18 sq cm (c) 16 sq cm (d) 8 sq cm
  10. 10.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
  11. 11.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 17 cm (c) 30 cm (d) 11 cm
  12. 12.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 140 cm
  13. 13.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 72 cm
  14. 14.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 28 cm (c) 4 cm (d) 3 cm
  15. 15.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 22 cm (b) 130 cm (c) 12 cm (d) 11 cm
  16. 16.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 38 cm (c) 3 cm (d) 6 cm
  17. 17.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 18 cm (c) 36 cm (d) 45 cm
  18. 18.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 8 cm (c) 4 cm (d) 3 cm
  19. 19.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 64 sq cm (d) 32 sq cm
  20. 20.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 7 cm (b) 90 cm (c) 12 cm (d) 6 cm
  21. 21.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 60 sq cm (d) 48 sq cm
  22. 22.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 60 cm (b) 26 cm (c) 32 cm (d) 16 cm
  23. 23.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 117 cm (c) 11 cm (d) 20 cm
  24. 24.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 38 cm (c) 34 cm (d) 19 cm
  25. 25.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 17 cm (d) 21 cm
  26. 26.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 34 sq cm (b) 65 sq cm (c) 17 sq cm (d) 52 sq cm
  27. 27.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 180 cm (b) 20 cm (c) 11 cm (d) 10 cm
  28. 28.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 5 cm (c) 2 cm (d) 4 cm
  29. 29.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 8 cm (c) 57 cm (d) 5 cm
  30. 30.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 14 cm (c) 28 cm (d) 24 cm
  31. 31.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
  32. 32.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 126 sq cm (b) 50 sq cm (c) 144 sq cm (d) 25 sq cm
  33. 33.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 2 cm (b) 7 cm (c) 4 cm (d) 3 cm
  34. 34.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
  35. 35.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 37 cm (b) 48 cm (c) 143 cm (d) 24 cm
  36. 36.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) 2 cm (d) 20 cm
  37. 37.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 24 cm (c) 11 cm (d) 19 cm
  38. 38.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 41 cm (b) 50 cm (c) 25 cm (d) 144 cm
  39. 39.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 56 sq cm (d) 28 sq cm
  40. 40.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 32 cm (c) 34 cm (d) 36 cm

Answer key

  1. 3 cm
  2. 20 cm
  3. 77 sq cm
  4. 64 cm
  5. 6 cm
  6. 54 cm
  7. 42 cm
  8. 49 sq cm
  9. 12 sq cm
  10. 121 sq cm
  11. 22 cm
  12. 8 cm
  13. 5 cm
  14. 3 cm
  15. 11 cm
  16. 3 cm
  17. 36 cm
  18. 3 cm
  19. 64 sq cm
  20. 6 cm
  21. 48 sq cm
  22. 32 cm
  23. 10 cm
  24. 38 cm
  25. 20 cm
  26. 52 sq cm
  27. 10 cm
  28. 2 cm
  29. 4 cm
  30. 28 cm
  31. 36 sq cm
  32. 126 sq cm
  33. 2 cm
  34. 25 sq cm
  35. 48 cm
  36. 2 cm
  37. 22 cm
  38. 50 cm
  39. 196 sq cm
  40. 36 cm

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