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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 579 · 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 16 cm long and 8 cm wide. What is its area? (a) 144 sq cm (b) 128 sq cm (c) 48 sq cm (d) 24 sq cm
  2. 2.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 60 sq cm (d) 30 sq cm
  3. 3.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 200 sq cm (c) 29 sq cm (d) 58 sq cm
  4. 4.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 18 cm (d) 16 cm
  5. 5.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 209 cm (b) 49 cm (c) 30 cm (d) 60 cm
  6. 6.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 38 cm (b) 70 cm (c) 19 cm (d) 33 cm
  7. 7.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
  8. 8.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 26 cm (b) 43 cm (c) 52 cm (d) 153 cm
  9. 9.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 48 cm
  10. 10.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 196 sq cm (d) 52 sq cm
  11. 11.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 117 cm
  12. 12.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 16 cm (b) 77 cm (c) 9 cm (d) 8 cm
  13. 13.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 39 cm (c) 29 cm (d) 32 cm
  14. 14.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 80 cm (b) 12 cm (c) 6 cm (d) 7 cm
  15. 15.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 25 sq cm (d) 20 sq cm
  16. 16.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  17. 17.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 65 sq cm (b) 36 sq cm (c) 18 sq cm (d) 78 sq cm
  18. 18.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 32 cm (c) 16 cm (d) 60 cm
  19. 19.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 38 sq cm (b) 78 sq cm (c) 91 sq cm (d) 19 sq cm
  20. 20.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
  21. 21.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
  22. 22.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 46 sq cm (b) 108 sq cm (c) 23 sq cm (d) 90 sq cm
  23. 23.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 160 sq cm (d) 140 sq cm
  24. 24.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 63 cm
  25. 25.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 12 cm (c) 11 cm (d) 22 cm
  26. 26.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 15 cm (c) 30 cm (d) 27 cm
  27. 27.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 17 cm (b) 30 cm (c) 34 cm (d) 52 cm
  28. 28.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 14 cm (c) 16 cm (d) 18 cm
  29. 29.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 3 cm (b) 4 cm (c) 11 cm (d) 2 cm
  30. 30.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 22 sq cm (d) 144 sq cm
  31. 31.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 18 sq cm (b) 70 sq cm (c) 56 sq cm (d) 36 sq cm
  32. 32.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 81 sq cm (d) 100 sq cm
  33. 33.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 64 sq cm (c) 19 sq cm (d) 38 sq cm
  34. 34.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) 4 cm (d) 3 cm
  35. 35.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
  36. 36.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 17 cm (c) 10 cm (d) 20 cm
  37. 37.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 80 sq cm (d) 70 sq cm
  38. 38.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 180 cm (c) 56 cm (d) 28 cm
  39. 39.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 18 cm (c) 9 cm (d) 10 cm
  40. 40.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 23 sq cm (b) 143 sq cm (c) 46 sq cm (d) 130 sq cm

Answer key

  1. 128 sq cm
  2. 225 sq cm
  3. 180 sq cm
  4. 20 cm
  5. 60 cm
  6. 38 cm
  7. 51 sq cm
  8. 52 cm
  9. 4 cm
  10. 169 sq cm
  11. 10 cm
  12. 8 cm
  13. 32 cm
  14. 6 cm
  15. 25 sq cm
  16. 49 sq cm
  17. 65 sq cm
  18. 32 cm
  19. 78 sq cm
  20. 196 sq cm
  21. 34 sq cm
  22. 90 sq cm
  23. 140 sq cm
  24. 8 cm
  25. 11 cm
  26. 30 cm
  27. 34 cm
  28. 18 cm
  29. 2 cm
  30. 121 sq cm
  31. 56 sq cm
  32. 81 sq cm
  33. 48 sq cm
  34. 3 cm
  35. 12 cm
  36. 20 cm
  37. 70 sq cm
  38. 56 cm
  39. 9 cm
  40. 130 sq cm

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