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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 93 · 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) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
  2. 2.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 27 cm (c) 36 cm (d) 15 cm
  3. 3.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 22 cm (b) 170 cm (c) 12 cm (d) 11 cm
  4. 4.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 152 cm (c) 9 cm (d) 18 cm
  5. 5.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 8 cm (c) 16 cm (d) 12 cm
  6. 6.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 11 sq cm (c) 22 sq cm (d) 30 sq cm
  7. 7.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 17 cm (c) 10 cm (d) 21 cm
  8. 8.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
  9. 9.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 15 cm (c) 30 cm (d) 23 cm
  10. 10.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 10 sq cm (d) 20 sq cm
  11. 11.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 24 sq cm (c) 36 sq cm (d) 14 sq cm
  12. 12.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
  13. 13.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 100 sq cm (d) 121 sq cm
  14. 14.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 38 cm (b) 50 cm (c) 25 cm (d) 156 cm
  15. 15.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 60 sq cm (d) 256 sq cm
  16. 16.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 13 cm (c) 36 cm (d) 26 cm
  17. 17.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 144 cm (c) 20 cm (d) 11 cm
  18. 18.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 112 cm (b) 16 cm (c) 9 cm (d) 8 cm
  19. 19.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 75 sq cm (c) 20 sq cm (d) 90 sq cm
  20. 20.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 27 cm (b) 46 cm (c) 54 cm (d) 152 cm
  21. 21.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 16 sq cm (c) 32 sq cm (d) 60 sq cm
  22. 22.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
  23. 23.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 17 cm
  24. 24.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 85 cm (c) 6 cm (d) 7 cm
  25. 25.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 162 cm (c) 10 cm (d) 20 cm
  26. 26.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 51 sq cm (c) 34 sq cm (d) 19 sq cm
  27. 27.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 28 sq cm (c) 11 sq cm (d) 35 sq cm
  28. 28.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 64 sq cm (d) 28 sq cm
  29. 29.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 24 cm (c) 19 cm (d) 12 cm
  30. 30.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 84 sq cm (d) 96 sq cm
  31. 31.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 50 cm (b) 150 cm (c) 25 cm (d) 40 cm
  32. 32.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
  33. 33.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 2 cm (b) 9 cm (c) 4 cm (d) 3 cm
  34. 34.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 96 sq cm (b) 80 sq cm (c) 21 sq cm (d) 42 sq cm
  35. 35.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 72 cm (c) 5 cm (d) 10 cm
  36. 36.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 43 cm (b) 27 cm (c) 176 cm (d) 54 cm
  37. 37.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 22 cm (c) 120 cm (d) 11 cm
  38. 38.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 31 cm (b) 62 cm (c) 228 cm (d) 50 cm
  39. 39.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 36 cm
  40. 40.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 57 cm (b) 44 cm (c) 41 cm (d) 22 cm

Answer key

  1. 121 sq cm
  2. 30 cm
  3. 11 cm
  4. 9 cm
  5. 16 cm
  6. 30 sq cm
  7. 20 cm
  8. 196 sq cm
  9. 30 cm
  10. 25 sq cm
  11. 24 sq cm
  12. 64 sq cm
  13. 100 sq cm
  14. 50 cm
  15. 225 sq cm
  16. 26 cm
  17. 10 cm
  18. 8 cm
  19. 75 sq cm
  20. 54 cm
  21. 48 sq cm
  22. 169 sq cm
  23. 2 cm
  24. 6 cm
  25. 10 cm
  26. 34 sq cm
  27. 28 sq cm
  28. 49 sq cm
  29. 24 cm
  30. 84 sq cm
  31. 50 cm
  32. 144 sq cm
  33. 2 cm
  34. 80 sq cm
  35. 5 cm
  36. 54 cm
  37. 11 cm
  38. 62 cm
  39. 4 cm
  40. 44 cm

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