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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 281 · 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 square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 22 sq cm (d) 121 sq cm
  2. 2.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 196 sq cm (d) 225 sq cm
  3. 3.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 12 cm (c) 32 cm (d) 24 cm
  4. 4.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 16 cm (c) 105 cm (d) 8 cm
  5. 5.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 240 sq cm (d) 260 sq cm
  6. 6.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 46 sq cm (b) 119 sq cm (c) 102 sq cm (d) 23 sq cm
  7. 7.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 27 cm (d) 70 cm
  8. 8.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 5 cm (c) 80 cm (d) 6 cm
  9. 9.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 56 cm (d) 23 cm
  10. 10.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 48 cm (c) 16 cm (d) 28 cm
  11. 11.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 30 sq cm (d) 12 sq cm
  12. 12.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 144 sq cm (d) 169 sq cm
  13. 13.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 75 cm (c) 7 cm (d) 6 cm
  14. 14.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
  15. 15.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 120 cm (d) 34 cm
  16. 16.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 27 sq cm (d) 18 sq cm
  17. 17.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 95 sq cm (b) 76 sq cm (c) 23 sq cm (d) 46 sq cm
  18. 18.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 28 cm (c) 80 cm (d) 18 cm
  19. 19.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 152 sq cm (d) 133 sq cm
  20. 20.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 22 cm (c) 40 cm (d) 44 cm
  21. 21.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 120 sq cm (b) 25 sq cm (c) 100 sq cm (d) 50 sq cm
  22. 22.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm
  23. 23.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 49 sq cm
  24. 24.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
  25. 25.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 28 sq cm (d) 64 sq cm
  26. 26.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 12 cm (c) 24 cm (d) 21 cm
  27. 27.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 121 sq cm (c) 42 sq cm (d) 110 sq cm
  28. 28.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 20 cm (c) 21 cm (d) 10 cm
  29. 29.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 16 sq cm (c) 8 sq cm (d) 18 sq cm
  30. 30.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 72 sq cm (d) 60 sq cm
  31. 31.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 3 cm (c) 1 cm (d) 2 cm
  32. 32.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 156 sq cm (b) 169 sq cm (c) 25 sq cm (d) 50 sq cm
  33. 33.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 28 cm (c) 5 cm (d) 10 cm
  34. 34.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
  35. 35.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 77 cm (b) 9 cm (c) 8 cm (d) 16 cm
  36. 36.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 17 cm (c) 34 cm (d) 66 cm
  37. 37.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 21 cm (b) 38 cm (c) 40 cm (d) 42 cm
  38. 38.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 192 sq cm (d) 176 sq cm
  39. 39.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 63 sq cm (c) 15 sq cm (d) 54 sq cm
  40. 40.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 126 cm

Answer key

  1. 121 sq cm
  2. 196 sq cm
  3. 24 cm
  4. 8 cm
  5. 240 sq cm
  6. 102 sq cm
  7. 34 cm
  8. 5 cm
  9. 30 cm
  10. 32 cm
  11. 20 sq cm
  12. 144 sq cm
  13. 6 cm
  14. 25 sq cm
  15. 44 cm
  16. 18 sq cm
  17. 76 sq cm
  18. 36 cm
  19. 133 sq cm
  20. 44 cm
  21. 100 sq cm
  22. 100 sq cm
  23. 36 sq cm
  24. 225 sq cm
  25. 49 sq cm
  26. 24 cm
  27. 110 sq cm
  28. 20 cm
  29. 12 sq cm
  30. 60 sq cm
  31. 2 cm
  32. 156 sq cm
  33. 5 cm
  34. 48 sq cm
  35. 8 cm
  36. 34 cm
  37. 42 cm
  38. 176 sq cm
  39. 54 sq cm
  40. 10 cm

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