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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 893 · 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 19 cm long and 10 cm wide. What is its perimeter? (a) 190 cm (b) 29 cm (c) 58 cm (d) 48 cm
  2. 2.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
  3. 3.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 108 cm
  4. 4.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 154 cm
  5. 5.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 225 sq cm (d) 28 sq cm
  6. 6.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 66 cm (b) 8 cm (c) 7 cm (d) 14 cm
  7. 7.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 31 cm (b) 17 cm (c) 34 cm (d) 42 cm
  8. 8.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 49 sq cm (c) 42 sq cm (d) 26 sq cm
  9. 9.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 19 cm (c) 34 cm (d) 38 cm
  10. 10.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 24 cm (c) 20 cm (d) 10 cm
  11. 11.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 120 sq cm (b) 100 sq cm (c) 50 sq cm (d) 25 sq cm
  12. 12.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 22 cm (c) 130 cm (d) 12 cm
  13. 13.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 60 cm (b) 209 cm (c) 49 cm (d) 30 cm
  14. 14.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 120 sq cm (b) 105 sq cm (c) 22 sq cm (d) 44 sq cm
  15. 15.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 40 sq cm (d) 100 sq cm
  16. 16.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 12 cm (c) 187 cm (d) 24 cm
  17. 17.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 18 cm (c) 33 cm (d) 36 cm
  18. 18.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
  19. 19.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 32 cm (c) 3 cm (d) 4 cm
  20. 20.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 9 sq cm (c) 18 sq cm (d) 14 sq cm
  21. 21.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 22 cm (c) 24 cm (d) 11 cm
  22. 22.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 126 cm
  23. 23.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 153 cm
  24. 24.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 1 cm (b) 4 cm (c) 3 cm (d) 2 cm
  25. 25.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 160 sq cm (b) 176 sq cm (c) 26 sq cm (d) 52 sq cm
  26. 26.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 76 sq cm (b) 46 sq cm (c) 23 sq cm (d) 95 sq cm
  27. 27.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 22 cm (b) 120 cm (c) 44 cm (d) 34 cm
  28. 28.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 68 sq cm (c) 51 sq cm (d) 40 sq cm
  29. 29.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 16 cm (c) 18 cm (d) 9 cm
  30. 30.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 21 cm (c) 40 cm (d) 42 cm
  31. 31.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 128 cm
  32. 32.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 33 cm (b) 4 cm (c) 5 cm (d) 8 cm
  33. 33.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 33 cm (d) 108 cm
  34. 34.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 48 sq cm (d) 24 sq cm
  35. 35.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 22 cm (b) 12 cm (c) 140 cm (d) 11 cm
  36. 36.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 16 sq cm (b) 39 sq cm (c) 32 sq cm (d) 52 sq cm
  37. 37.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 119 cm (c) 16 cm (d) 9 cm
  38. 38.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 41 cm (d) 57 cm
  39. 39.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 56 cm (c) 32 cm (d) 36 cm
  40. 40.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 40 sq cm (d) 32 sq cm

Answer key

  1. 58 cm
  2. 64 sq cm
  3. 7 cm
  4. 12 cm
  5. 196 sq cm
  6. 7 cm
  7. 34 cm
  8. 42 sq cm
  9. 38 cm
  10. 20 cm
  11. 100 sq cm
  12. 11 cm
  13. 60 cm
  14. 105 sq cm
  15. 100 sq cm
  16. 12 cm
  17. 36 cm
  18. 25 sq cm
  19. 3 cm
  20. 14 sq cm
  21. 22 cm
  22. 8 cm
  23. 10 cm
  24. 2 cm
  25. 160 sq cm
  26. 76 sq cm
  27. 44 cm
  28. 51 sq cm
  29. 18 cm
  30. 42 cm
  31. 9 cm
  32. 4 cm
  33. 42 cm
  34. 144 sq cm
  35. 11 cm
  36. 39 sq cm
  37. 8 cm
  38. 44 cm
  39. 36 cm
  40. 32 sq cm

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