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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 387 · 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 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
  2. 2.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 55 cm (b) 16 cm (c) 27 cm (d) 32 cm
  3. 3.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 36 cm (c) 19 cm (d) 38 cm
  4. 4.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 52 sq cm (d) 26 sq cm
  5. 5.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 28 cm (b) 47 cm (c) 56 cm (d) 171 cm
  6. 6.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 12 sq cm (c) 18 sq cm (d) 16 sq cm
  7. 7.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 40 cm (b) 6 cm (c) 5 cm (d) 10 cm
  8. 8.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 56 sq cm (b) 180 sq cm (c) 28 sq cm (d) 160 sq cm
  9. 9.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
  10. 10.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 28 sq cm (b) 208 sq cm (c) 56 sq cm (d) 192 sq cm
  11. 11.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 72 cm (b) 30 cm (c) 36 cm (d) 18 cm
  12. 12.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 16 sq cm (d) 64 sq cm
  13. 13.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 108 cm
  14. 14.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 30 sq cm (d) 11 sq cm
  15. 15.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 10 cm (c) 9 cm (d) 18 cm
  16. 16.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 153 cm
  17. 17.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 52 sq cm (b) 16 sq cm (c) 39 sq cm (d) 32 sq cm
  18. 18.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 18 cm (b) 128 cm (c) 9 cm (d) 10 cm
  19. 19.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 60 cm (c) 12 cm (d) 6 cm
  20. 20.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 144 cm
  21. 21.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 14 sq cm (b) 44 sq cm (c) 28 sq cm (d) 33 sq cm
  22. 22.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 19 cm (c) 11 cm (d) 22 cm
  23. 23.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 187 sq cm (b) 170 sq cm (c) 54 sq cm (d) 27 sq cm
  24. 24.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 20 cm (c) 12 cm (d) 24 cm
  25. 25.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 22 cm (b) 3 cm (c) 4 cm (d) 6 cm
  26. 26.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 55 sq cm (c) 15 sq cm (d) 44 sq cm
  27. 27.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
  28. 28.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 47 cm (b) 27 cm (c) 140 cm (d) 54 cm
  29. 29.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 91 cm (d) 33 cm
  30. 30.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 225 sq cm (d) 56 sq cm
  31. 31.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 44 cm (b) 54 cm (c) 170 cm (d) 27 cm
  32. 32.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
  33. 33.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 6 cm (c) 16 cm (d) 3 cm
  34. 34.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 19 sq cm (b) 84 sq cm (c) 38 sq cm (d) 70 sq cm
  35. 35.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 10 cm (c) 52 cm (d) 5 cm
  36. 36.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 10 sq cm (c) 24 sq cm (d) 20 sq cm
  37. 37.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 90 sq cm (d) 100 sq cm
  38. 38.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 8 cm (c) 12 cm (d) 16 cm
  39. 39.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 43 cm (b) 52 cm (c) 26 cm (d) 153 cm
  40. 40.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 12 cm (c) 19 cm (d) 24 cm

Answer key

  1. 36 sq cm
  2. 32 cm
  3. 38 cm
  4. 169 sq cm
  5. 56 cm
  6. 12 sq cm
  7. 5 cm
  8. 160 sq cm
  9. 144 sq cm
  10. 192 sq cm
  11. 36 cm
  12. 64 sq cm
  13. 7 cm
  14. 30 sq cm
  15. 9 cm
  16. 10 cm
  17. 39 sq cm
  18. 9 cm
  19. 6 cm
  20. 9 cm
  21. 33 sq cm
  22. 22 cm
  23. 170 sq cm
  24. 24 cm
  25. 3 cm
  26. 44 sq cm
  27. 25 sq cm
  28. 54 cm
  29. 40 cm
  30. 196 sq cm
  31. 54 cm
  32. 49 sq cm
  33. 3 cm
  34. 70 sq cm
  35. 5 cm
  36. 16 sq cm
  37. 90 sq cm
  38. 16 cm
  39. 52 cm
  40. 24 cm

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