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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 678 · 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 has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 32 cm
  2. 2.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 22 cm (c) 20 cm (d) 24 cm
  3. 3.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 24 cm (c) 3 cm (d) 4 cm
  4. 4.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 49 sq cm (d) 64 sq cm
  5. 5.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
  6. 6.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 24 sq cm (d) 30 sq cm
  7. 7.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 56 cm (b) 32 cm (c) 36 cm (d) 18 cm
  8. 8.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 153 cm (b) 20 cm (c) 10 cm (d) 11 cm
  9. 9.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 52 sq cm (b) 140 sq cm (c) 120 sq cm (d) 26 sq cm
  10. 10.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
  11. 11.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 120 cm
  12. 12.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 28 sq cm (b) 187 sq cm (c) 204 sq cm (d) 56 sq cm
  13. 13.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 57 sq cm (b) 21 sq cm (c) 42 sq cm (d) 38 sq cm
  14. 14.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 40 cm
  15. 15.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 120 cm (c) 11 cm (d) 22 cm
  16. 16.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
  17. 17.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 44 sq cm (d) 144 sq cm
  18. 18.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 25 sq cm (b) 169 sq cm (c) 156 sq cm (d) 50 sq cm
  19. 19.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
  20. 20.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 18 cm (b) 9 cm (c) 10 cm (d) 128 cm
  21. 21.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
  22. 22.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 54 sq cm (b) 42 sq cm (c) 21 sq cm (d) 72 sq cm
  23. 23.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 21 cm (b) 8 cm (c) 4 cm (d) 5 cm
  24. 24.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 81 sq cm (d) 72 sq cm
  25. 25.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 24 cm (b) 10 cm (c) 6 cm (d) 5 cm
  26. 26.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 26 sq cm (d) 52 sq cm
  27. 27.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 22 sq cm (b) 112 sq cm (c) 126 sq cm (d) 44 sq cm
  28. 28.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 30 sq cm (b) 220 sq cm (c) 200 sq cm (d) 60 sq cm
  29. 29.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 44 sq cm (b) 132 sq cm (c) 120 sq cm (d) 22 sq cm
  30. 30.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 12 sq cm (c) 35 sq cm (d) 24 sq cm
  31. 31.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 120 sq cm (b) 44 sq cm (c) 22 sq cm (d) 105 sq cm
  32. 32.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 49 sq cm (d) 42 sq cm
  33. 33.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 105 cm (b) 37 cm (c) 22 cm (d) 44 cm
  34. 34.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 22 cm (c) 150 cm (d) 12 cm
  35. 35.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 35 cm
  36. 36.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
  37. 37.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 44 sq cm (b) 130 sq cm (c) 22 sq cm (d) 117 sq cm
  38. 38.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 24 cm
  39. 39.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 27 cm (b) 170 cm (c) 54 cm (d) 44 cm
  40. 40.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 29 cm (b) 48 cm (c) 58 cm (d) 190 cm

Answer key

  1. 5 cm
  2. 24 cm
  3. 3 cm
  4. 49 sq cm
  5. 144 sq cm
  6. 24 sq cm
  7. 36 cm
  8. 10 cm
  9. 120 sq cm
  10. 25 sq cm
  11. 7 cm
  12. 187 sq cm
  13. 38 sq cm
  14. 6 cm
  15. 11 cm
  16. 100 sq cm
  17. 121 sq cm
  18. 156 sq cm
  19. 24 cm
  20. 9 cm
  21. 64 sq cm
  22. 54 sq cm
  23. 4 cm
  24. 72 sq cm
  25. 5 cm
  26. 169 sq cm
  27. 112 sq cm
  28. 200 sq cm
  29. 120 sq cm
  30. 35 sq cm
  31. 105 sq cm
  32. 42 sq cm
  33. 44 cm
  34. 11 cm
  35. 6 cm
  36. 196 sq cm
  37. 117 sq cm
  38. 4 cm
  39. 54 cm
  40. 58 cm

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