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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 498 · 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 9 cm wide. What is its area? (a) 58 sq cm (b) 200 sq cm (c) 180 sq cm (d) 29 sq cm
  2. 2.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
  3. 3.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 170 cm (c) 11 cm (d) 22 cm
  4. 4.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 20 sq cm (d) 100 sq cm
  5. 5.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 13 cm (c) 24 cm (d) 12 cm
  6. 6.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 31 cm (b) 51 cm (c) 62 cm (d) 220 cm
  7. 7.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 84 cm
  8. 8.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 48 cm
  9. 9.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 12 cm (c) 45 cm (d) 7 cm
  10. 10.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 5 cm (c) 4 cm (d) 2 cm
  11. 11.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 30 sq cm (c) 36 sq cm (d) 11 sq cm
  12. 12.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
  13. 13.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 133 sq cm (b) 50 sq cm (c) 25 sq cm (d) 114 sq cm
  14. 14.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 84 cm (b) 38 cm (c) 19 cm (d) 31 cm
  15. 15.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 77 cm (b) 16 cm (c) 9 cm (d) 8 cm
  16. 16.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
  17. 17.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 42 cm (c) 26 cm (d) 13 cm
  18. 18.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 42 sq cm (c) 32 sq cm (d) 28 sq cm
  19. 19.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
  20. 20.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 90 sq cm (c) 22 sq cm (d) 72 sq cm
  21. 21.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  22. 22.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 42 cm (c) 5 cm (d) 4 cm
  23. 23.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 56 sq cm (b) 190 sq cm (c) 171 sq cm (d) 28 sq cm
  24. 24.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 162 cm
  25. 25.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 72 sq cm (b) 17 sq cm (c) 60 sq cm (d) 34 sq cm
  26. 26.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 42 sq cm (c) 24 sq cm (d) 35 sq cm
  27. 27.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 45 sq cm (c) 18 sq cm (d) 36 sq cm
  28. 28.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 50 cm
  29. 29.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 24 cm (c) 20 cm (d) 16 cm
  30. 30.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 112 sq cm (b) 44 sq cm (c) 96 sq cm (d) 22 sq cm
  31. 31.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
  32. 32.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 18 cm (c) 3 cm (d) 6 cm
  33. 33.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 9 cm (b) 140 cm (c) 16 cm (d) 8 cm
  34. 34.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 2 cm
  35. 35.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 26 cm (b) 133 cm (c) 52 cm (d) 45 cm
  36. 36.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 126 cm (b) 46 cm (c) 37 cm (d) 23 cm
  37. 37.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
  38. 38.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 39 cm (c) 54 cm (d) 42 cm
  39. 39.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 256 sq cm (d) 60 sq cm
  40. 40.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 48 cm (b) 41 cm (c) 24 cm (d) 119 cm

Answer key

  1. 180 sq cm
  2. 196 sq cm
  3. 11 cm
  4. 100 sq cm
  5. 12 cm
  6. 62 cm
  7. 7 cm
  8. 5 cm
  9. 6 cm
  10. 2 cm
  11. 30 sq cm
  12. 169 sq cm
  13. 114 sq cm
  14. 38 cm
  15. 8 cm
  16. 36 sq cm
  17. 26 cm
  18. 28 sq cm
  19. 10 cm
  20. 72 sq cm
  21. 64 sq cm
  22. 4 cm
  23. 171 sq cm
  24. 10 cm
  25. 60 sq cm
  26. 35 sq cm
  27. 45 sq cm
  28. 6 cm
  29. 20 cm
  30. 96 sq cm
  31. 49 sq cm
  32. 3 cm
  33. 8 cm
  34. 2 cm
  35. 52 cm
  36. 46 cm
  37. 144 sq cm
  38. 42 cm
  39. 225 sq cm
  40. 48 cm

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