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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 676 · 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 36 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 3 cm (c) 4 cm (d) 2 cm
  2. 2.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 104 sq cm (d) 117 sq cm
  3. 3.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 24 cm (b) 209 cm (c) 13 cm (d) 12 cm
  4. 4.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
  5. 5.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 88 sq cm (b) 36 sq cm (c) 18 sq cm (d) 77 sq cm
  6. 6.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 5 cm (c) 15 cm (d) 8 cm
  7. 7.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 51 sq cm (d) 34 sq cm
  8. 8.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 110 sq cm (c) 121 sq cm (d) 42 sq cm
  9. 9.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 27 sq cm (d) 24 sq cm
  10. 10.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 72 cm (b) 17 cm (c) 34 cm (d) 26 cm
  11. 11.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 20 cm (c) 26 cm (d) 13 cm
  12. 12.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 11 cm (c) 200 cm (d) 22 cm
  13. 13.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 68 sq cm (c) 51 sq cm (d) 20 sq cm
  14. 14.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
  15. 15.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 64 cm (b) 10 cm (c) 6 cm (d) 5 cm
  16. 16.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 15 cm (c) 36 cm (d) 30 cm
  17. 17.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
  18. 18.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 16 sq cm (d) 64 sq cm
  19. 19.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 12 cm
  20. 20.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 64 sq cm (c) 15 sq cm (d) 30 sq cm
  21. 21.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 2 cm (c) 16 cm (d) 3 cm
  22. 22.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
  23. 23.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 119 sq cm (d) 102 sq cm
  24. 24.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) 3 cm (d) 4 cm
  25. 25.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 52 cm (b) 46 cm (c) 120 cm (d) 26 cm
  26. 26.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 8 cm
  27. 27.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
  28. 28.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 8 cm (d) 12 cm
  29. 29.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
  30. 30.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 19 cm (c) 30 cm (d) 88 cm
  31. 31.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 30 cm (c) 15 cm (d) 54 cm
  32. 32.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 90 sq cm (c) 20 sq cm (d) 75 sq cm
  33. 33.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 2 cm (b) 5 cm (c) 3 cm (d) 4 cm
  34. 34.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 68 cm (b) 5 cm (c) 10 cm (d) 6 cm
  35. 35.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 256 sq cm (d) 30 sq cm
  36. 36.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 36 cm (c) 22 cm (d) 26 cm
  37. 37.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 50 sq cm (b) 154 sq cm (c) 25 sq cm (d) 168 sq cm
  38. 38.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 30 sq cm (c) 22 sq cm (d) 36 sq cm
  39. 39.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 18 sq cm (c) 90 sq cm (d) 36 sq cm
  40. 40.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 49 sq cm (d) 28 sq cm

Answer key

  1. 2 cm
  2. 104 sq cm
  3. 12 cm
  4. 36 sq cm
  5. 77 sq cm
  6. 4 cm
  7. 34 sq cm
  8. 110 sq cm
  9. 27 sq cm
  10. 34 cm
  11. 26 cm
  12. 11 cm
  13. 51 sq cm
  14. 22 sq cm
  15. 5 cm
  16. 30 cm
  17. 119 sq cm
  18. 64 sq cm
  19. 2 cm
  20. 56 sq cm
  21. 2 cm
  22. 25 sq cm
  23. 102 sq cm
  24. 3 cm
  25. 52 cm
  26. 3 cm
  27. 169 sq cm
  28. 16 cm
  29. 196 sq cm
  30. 38 cm
  31. 30 cm
  32. 75 sq cm
  33. 2 cm
  34. 5 cm
  35. 225 sq cm
  36. 26 cm
  37. 154 sq cm
  38. 30 sq cm
  39. 80 sq cm
  40. 49 sq cm

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