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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 1 · 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 26 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 4 cm (c) 3 cm (d) 2 cm
  2. 2.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 154 sq cm (d) 140 sq cm
  3. 3.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 18 sq cm (d) 27 sq cm
  4. 4.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 8 cm
  5. 5.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
  6. 6.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 60 sq cm (d) 256 sq cm
  7. 7.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 9 cm (c) 18 cm (d) 15 cm
  8. 8.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
  9. 9.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 13 cm (c) 209 cm (d) 24 cm
  10. 10.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 21 sq cm (c) 10 sq cm (d) 20 sq cm
  11. 11.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 84 sq cm (b) 38 sq cm (c) 19 sq cm (d) 96 sq cm
  12. 12.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 22 cm (c) 17 cm (d) 11 cm
  13. 13.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 160 cm
  14. 14.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 4 cm (c) 38 cm (d) 3 cm
  15. 15.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 32 sq cm (c) 18 sq cm (d) 48 sq cm
  16. 16.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 54 cm (d) 24 cm
  17. 17.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 20 cm (c) 13 cm (d) 42 cm
  18. 18.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 68 cm (b) 38 cm (c) 42 cm (d) 21 cm
  19. 19.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 108 sq cm (d) 90 sq cm
  20. 20.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 16 cm (c) 112 cm (d) 9 cm
  21. 21.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 96 cm (b) 7 cm (c) 14 cm (d) 8 cm
  22. 22.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 56 sq cm (c) 30 sq cm (d) 15 sq cm
  23. 23.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 121 sq cm (d) 40 sq cm
  24. 24.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 63 cm (c) 32 cm (d) 16 cm
  25. 25.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 12 sq cm (d) 30 sq cm
  26. 26.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
  27. 27.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 88 sq cm (d) 77 sq cm
  28. 28.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
  29. 29.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 64 sq cm (d) 14 sq cm
  30. 30.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 22 sq cm (c) 24 sq cm (d) 11 sq cm
  31. 31.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 48 cm (b) 14 cm (c) 28 cm (d) 22 cm
  32. 32.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 65 cm (b) 6 cm (c) 7 cm (d) 12 cm
  33. 33.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) 8 cm (d) 9 cm
  34. 34.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 54 cm (c) 7 cm (d) 14 cm
  35. 35.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
  36. 36.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 220 cm (b) 13 cm (c) 12 cm (d) 24 cm
  37. 37.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 56 cm (b) 46 cm (c) 28 cm (d) 180 cm
  38. 38.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 198 cm (b) 58 cm (c) 47 cm (d) 29 cm
  39. 39.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 30 cm (d) 72 cm
  40. 40.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 15 cm

Answer key

  1. 2 cm
  2. 140 sq cm
  3. 18 sq cm
  4. 2 cm
  5. 196 sq cm
  6. 225 sq cm
  7. 18 cm
  8. 81 sq cm
  9. 12 cm
  10. 21 sq cm
  11. 84 sq cm
  12. 22 cm
  13. 11 cm
  14. 3 cm
  15. 32 sq cm
  16. 30 cm
  17. 26 cm
  18. 42 cm
  19. 90 sq cm
  20. 8 cm
  21. 7 cm
  22. 56 sq cm
  23. 100 sq cm
  24. 32 cm
  25. 20 sq cm
  26. 36 sq cm
  27. 77 sq cm
  28. 64 sq cm
  29. 49 sq cm
  30. 24 sq cm
  31. 28 cm
  32. 6 cm
  33. 8 cm
  34. 7 cm
  35. 25 sq cm
  36. 12 cm
  37. 56 cm
  38. 58 cm
  39. 36 cm
  40. 4 cm

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