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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 243 · 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 18 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 72 sq cm (c) 44 sq cm (d) 90 sq cm
  2. 2.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 26 sq cm (d) 196 sq cm
  3. 3.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 12 cm (c) 198 cm (d) 13 cm
  4. 4.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 48 cm
  5. 5.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 49 sq cm (d) 42 sq cm
  6. 6.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 17 cm (c) 70 cm (d) 34 cm
  7. 7.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 12 cm (c) 16 cm (d) 14 cm
  8. 8.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 17 sq cm (c) 34 sq cm (d) 70 sq cm
  9. 9.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 25 sq cm (d) 36 sq cm
  10. 10.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 55 sq cm (b) 32 sq cm (c) 16 sq cm (d) 66 sq cm
  11. 11.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 34 cm (c) 36 cm (d) 18 cm
  12. 12.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
  13. 13.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
  14. 14.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 114 sq cm (c) 24 sq cm (d) 95 sq cm
  15. 15.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 168 sq cm (b) 50 sq cm (c) 25 sq cm (d) 154 sq cm
  16. 16.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 10 cm (b) 28 cm (c) 6 cm (d) 5 cm
  17. 17.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 15 cm (b) 26 cm (c) 30 cm (d) 28 cm
  18. 18.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 40 cm (b) 102 cm (c) 23 cm (d) 46 cm
  19. 19.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 25 cm (b) 144 cm (c) 50 cm (d) 41 cm
  20. 20.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
  21. 21.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 136 cm (c) 10 cm (d) 9 cm
  22. 22.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 36 cm (c) 72 cm (d) 18 cm
  23. 23.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 9 cm (c) 16 cm (d) 18 cm
  24. 24.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 152 cm (b) 18 cm (c) 10 cm (d) 9 cm
  25. 25.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 22 sq cm (c) 11 sq cm (d) 28 sq cm
  26. 26.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 66 cm (c) 28 cm (d) 17 cm
  27. 27.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 2 cm (b) 4 cm (c) 11 cm (d) 3 cm
  28. 28.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 30 cm (c) 23 cm (d) 15 cm
  29. 29.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 49 sq cm (d) 24 sq cm
  30. 30.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 35 cm (b) 42 cm (c) 21 cm (d) 98 cm
  31. 31.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 160 sq cm (b) 180 sq cm (c) 56 sq cm (d) 28 sq cm
  32. 32.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 12 cm (c) 6 cm (d) 3 cm
  33. 33.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 40 sq cm (c) 20 sq cm (d) 64 sq cm
  34. 34.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 119 sq cm (b) 136 sq cm (c) 24 sq cm (d) 48 sq cm
  35. 35.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 14 sq cm (c) 28 sq cm (d) 24 sq cm
  36. 36.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 42 cm (b) 25 cm (c) 136 cm (d) 50 cm
  37. 37.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 15 cm
  38. 38.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 57 cm (b) 8 cm (c) 4 cm (d) 5 cm
  39. 39.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 4 cm (c) 3 cm (d) 6 cm
  40. 40.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 10 cm (c) 72 cm (d) 5 cm

Answer key

  1. 72 sq cm
  2. 169 sq cm
  3. 12 cm
  4. 4 cm
  5. 42 sq cm
  6. 34 cm
  7. 16 cm
  8. 70 sq cm
  9. 25 sq cm
  10. 55 sq cm
  11. 36 cm
  12. 27 sq cm
  13. 81 sq cm
  14. 95 sq cm
  15. 154 sq cm
  16. 5 cm
  17. 30 cm
  18. 46 cm
  19. 50 cm
  20. 100 sq cm
  21. 9 cm
  22. 36 cm
  23. 18 cm
  24. 9 cm
  25. 28 sq cm
  26. 34 cm
  27. 2 cm
  28. 30 cm
  29. 36 sq cm
  30. 42 cm
  31. 160 sq cm
  32. 3 cm
  33. 64 sq cm
  34. 119 sq cm
  35. 24 sq cm
  36. 50 cm
  37. 2 cm
  38. 4 cm
  39. 3 cm
  40. 5 cm

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