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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 895 · 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 15 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 45 cm (c) 18 cm (d) 36 cm
  2. 2.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 30 sq cm (d) 10 sq cm
  3. 3.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 28 sq cm (c) 35 sq cm (d) 11 sq cm
  4. 4.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 95 cm (b) 7 cm (c) 6 cm (d) 12 cm
  5. 5.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 24 cm (c) 209 cm (d) 13 cm
  6. 6.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 30 sq cm (c) 60 sq cm (d) 15 sq cm
  7. 7.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 18 sq cm (d) 100 sq cm
  8. 8.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 20 cm (c) 10 cm (d) 11 cm
  9. 9.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 22 sq cm (c) 13 sq cm (d) 33 sq cm
  10. 10.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 40 sq cm (c) 14 sq cm (d) 50 sq cm
  11. 11.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 38 sq cm (d) 57 sq cm
  12. 12.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 114 sq cm (b) 95 sq cm (c) 48 sq cm (d) 24 sq cm
  13. 13.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 16 sq cm (c) 28 sq cm (d) 32 sq cm
  14. 14.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 21 cm
  15. 15.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 39 sq cm (b) 30 sq cm (c) 26 sq cm (d) 15 sq cm
  16. 16.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 52 sq cm (d) 26 sq cm
  17. 17.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 100 sq cm (d) 121 sq cm
  18. 18.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 44 cm (c) 15 cm (d) 26 cm
  19. 19.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 102 cm (b) 14 cm (c) 7 cm (d) 8 cm
  20. 20.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 108 cm (b) 42 cm (c) 48 cm (d) 24 cm
  21. 21.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 51 sq cm (c) 68 sq cm (d) 20 sq cm
  22. 22.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  23. 23.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 16 cm (c) 8 cm (d) 9 cm
  24. 24.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 117 cm (b) 10 cm (c) 20 cm (d) 11 cm
  25. 25.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm
  26. 26.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 38 cm (c) 156 cm (d) 25 cm
  27. 27.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 136 cm (b) 42 cm (c) 50 cm (d) 25 cm
  28. 28.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 35 sq cm (d) 42 sq cm
  29. 29.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 27 cm (b) 55 cm (c) 16 cm (d) 32 cm
  30. 30.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 76 cm (d) 42 cm
  31. 31.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 27 sq cm (c) 11 sq cm (d) 18 sq cm
  32. 32.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 96 sq cm (b) 44 sq cm (c) 112 sq cm (d) 22 sq cm
  33. 33.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 18 cm (b) 31 cm (c) 65 cm (d) 36 cm
  34. 34.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 99 sq cm (b) 38 sq cm (c) 88 sq cm (d) 19 sq cm
  35. 35.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 180 cm (c) 11 cm (d) 12 cm
  36. 36.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 68 sq cm (b) 85 sq cm (c) 42 sq cm (d) 21 sq cm
  37. 37.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 14 cm (b) 6 cm (c) 4 cm (d) 3 cm
  38. 38.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 18 cm (b) 9 cm (c) 10 cm (d) 104 cm
  39. 39.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 85 cm (b) 12 cm (c) 7 cm (d) 6 cm
  40. 40.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 17 sq cm (c) 34 sq cm (d) 81 sq cm

Answer key

  1. 36 cm
  2. 24 sq cm
  3. 28 sq cm
  4. 6 cm
  5. 12 cm
  6. 50 sq cm
  7. 81 sq cm
  8. 10 cm
  9. 22 sq cm
  10. 40 sq cm
  11. 38 sq cm
  12. 95 sq cm
  13. 28 sq cm
  14. 4 cm
  15. 26 sq cm
  16. 169 sq cm
  17. 100 sq cm
  18. 30 cm
  19. 7 cm
  20. 48 cm
  21. 51 sq cm
  22. 64 sq cm
  23. 8 cm
  24. 10 cm
  25. 196 sq cm
  26. 50 cm
  27. 50 cm
  28. 35 sq cm
  29. 32 cm
  30. 46 cm
  31. 18 sq cm
  32. 96 sq cm
  33. 36 cm
  34. 88 sq cm
  35. 11 cm
  36. 68 sq cm
  37. 3 cm
  38. 9 cm
  39. 6 cm
  40. 72 sq cm

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