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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 455 · 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 20 cm long and 5 cm wide. What is its perimeter? (a) 100 cm (b) 45 cm (c) 50 cm (d) 25 cm
  2. 2.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 34 sq cm (d) 51 sq cm
  3. 3.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 36 sq cm (c) 11 sq cm (d) 30 sq cm
  4. 4.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 112 cm (c) 9 cm (d) 8 cm
  5. 5.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 16 sq cm (c) 10 sq cm (d) 20 sq cm
  6. 6.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 98 cm (b) 16 cm (c) 8 cm (d) 9 cm
  7. 7.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 63 cm (c) 9 cm (d) 16 cm
  8. 8.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 117 sq cm (b) 104 sq cm (c) 21 sq cm (d) 42 sq cm
  9. 9.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 21 cm (c) 90 cm (d) 42 cm
  10. 10.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
  11. 11.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 10 sq cm (d) 25 sq cm
  12. 12.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 96 sq cm (b) 108 sq cm (c) 40 sq cm (d) 20 sq cm
  13. 13.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 48 sq cm (c) 28 sq cm (d) 56 sq cm
  14. 14.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 35 cm (c) 7 cm (d) 12 cm
  15. 15.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 26 sq cm (c) 13 sq cm (d) 22 sq cm
  16. 16.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 80 sq cm (c) 20 sq cm (d) 64 sq cm
  17. 17.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 24 cm (c) 80 cm (d) 48 cm
  18. 18.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 5 cm (b) 4 cm (c) 33 cm (d) 8 cm
  19. 19.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 60 sq cm (b) 209 sq cm (c) 228 sq cm (d) 30 sq cm
  20. 20.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 6 cm (c) 72 cm (d) 5 cm
  21. 21.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 56 sq cm (d) 28 sq cm
  22. 22.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 36 sq cm (c) 14 sq cm (d) 24 sq cm
  23. 23.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 32 sq cm (c) 24 sq cm (d) 22 sq cm
  24. 24.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 117 cm (b) 44 cm (c) 22 cm (d) 35 cm
  25. 25.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 162 sq cm (b) 26 sq cm (c) 52 sq cm (d) 144 sq cm
  26. 26.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 29 cm (b) 32 cm (c) 39 cm (d) 16 cm
  27. 27.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 70 cm (b) 6 cm (c) 12 cm (d) 7 cm
  28. 28.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 50 cm (c) 25 cm (d) 15 cm
  29. 29.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 13 cm (c) 26 cm (d) 22 cm
  30. 30.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 39 cm (b) 44 cm (c) 85 cm (d) 22 cm
  31. 31.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 21 cm (c) 10 cm (d) 17 cm
  32. 32.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 49 sq cm (d) 28 sq cm
  33. 33.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 56 sq cm (c) 42 sq cm (d) 34 sq cm
  34. 34.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 12 cm (c) 21 cm (d) 24 cm
  35. 35.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 4 cm (b) 2 cm (c) 1 cm (d) 3 cm
  36. 36.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 19 cm (c) 38 cm (d) 60 cm
  37. 37.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
  38. 38.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 68 sq cm (b) 40 sq cm (c) 20 sq cm (d) 51 sq cm
  39. 39.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 27 sq cm (c) 11 sq cm (d) 22 sq cm
  40. 40.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm

Answer key

  1. 50 cm
  2. 34 sq cm
  3. 30 sq cm
  4. 8 cm
  5. 16 sq cm
  6. 8 cm
  7. 8 cm
  8. 104 sq cm
  9. 42 cm
  10. 169 sq cm
  11. 25 sq cm
  12. 96 sq cm
  13. 48 sq cm
  14. 6 cm
  15. 22 sq cm
  16. 64 sq cm
  17. 48 cm
  18. 4 cm
  19. 209 sq cm
  20. 5 cm
  21. 196 sq cm
  22. 24 sq cm
  23. 24 sq cm
  24. 44 cm
  25. 144 sq cm
  26. 32 cm
  27. 6 cm
  28. 30 cm
  29. 26 cm
  30. 44 cm
  31. 20 cm
  32. 49 sq cm
  33. 42 sq cm
  34. 24 cm
  35. 2 cm
  36. 38 cm
  37. 36 sq cm
  38. 51 sq cm
  39. 18 sq cm
  40. 64 sq cm

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