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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 643 · 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 19 cm long and 10 cm wide. What is its area? (a) 29 sq cm (b) 190 sq cm (c) 58 sq cm (d) 209 sq cm
  2. 2.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 40 cm (b) 99 cm (c) 20 cm (d) 31 cm
  3. 3.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 25 sq cm (d) 36 sq cm
  4. 4.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
  5. 5.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 16 sq cm (b) 39 sq cm (c) 32 sq cm (d) 52 sq cm
  6. 6.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 10 cm (c) 64 cm (d) 5 cm
  7. 7.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 170 cm
  8. 8.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 135 sq cm (b) 23 sq cm (c) 120 sq cm (d) 46 sq cm
  9. 9.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
  10. 10.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 56 sq cm (c) 42 sq cm (d) 34 sq cm
  11. 11.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 192 sq cm (d) 176 sq cm
  12. 12.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 41 cm (b) 22 cm (c) 57 cm (d) 44 cm
  13. 13.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 42 cm (c) 40 cm (d) 44 cm
  14. 14.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 22 sq cm (d) 144 sq cm
  15. 15.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 63 cm (c) 25 cm (d) 32 cm
  16. 16.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 10 cm (c) 180 cm (d) 20 cm
  17. 17.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 18 cm (c) 112 cm (d) 9 cm
  18. 18.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 36 sq cm (c) 48 sq cm (d) 15 sq cm
  19. 19.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 55 cm
  20. 20.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 112 cm (d) 36 cm
  21. 21.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 54 sq cm (b) 180 sq cm (c) 27 sq cm (d) 162 sq cm
  22. 22.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
  23. 23.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 108 cm (b) 7 cm (c) 8 cm (d) 14 cm
  24. 24.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 21 sq cm (c) 14 sq cm (d) 9 sq cm
  25. 25.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 38 cm (b) 6 cm (c) 4 cm (d) 3 cm
  26. 26.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 2 cm (b) 8 cm (c) 3 cm (d) 4 cm
  27. 27.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 40 sq cm (d) 20 sq cm
  28. 28.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 110 cm (d) 32 cm
  29. 29.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 12 cm (c) 13 cm (d) 24 cm
  30. 30.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 78 sq cm (b) 65 sq cm (c) 18 sq cm (d) 36 sq cm
  31. 31.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 70 cm
  32. 32.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 220 cm
  33. 33.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 30 cm (b) 6 cm (c) 4 cm (d) 3 cm
  34. 34.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 34 cm (b) 6 cm (c) 3 cm (d) 4 cm
  35. 35.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 51 sq cm (b) 34 sq cm (c) 38 sq cm (d) 19 sq cm
  36. 36.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 40 cm (c) 4 cm (d) 3 cm
  37. 37.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 19 cm (c) 15 cm (d) 9 cm
  38. 38.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 18 cm (d) 11 cm
  39. 39.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 40 sq cm (d) 12 sq cm
  40. 40.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

Answer key

  1. 190 sq cm
  2. 40 cm
  3. 25 sq cm
  4. 36 sq cm
  5. 39 sq cm
  6. 5 cm
  7. 11 cm
  8. 120 sq cm
  9. 225 sq cm
  10. 42 sq cm
  11. 176 sq cm
  12. 44 cm
  13. 44 cm
  14. 121 sq cm
  15. 32 cm
  16. 10 cm
  17. 9 cm
  18. 36 sq cm
  19. 6 cm
  20. 44 cm
  21. 162 sq cm
  22. 196 sq cm
  23. 7 cm
  24. 14 sq cm
  25. 3 cm
  26. 2 cm
  27. 100 sq cm
  28. 42 cm
  29. 12 cm
  30. 65 sq cm
  31. 8 cm
  32. 12 cm
  33. 3 cm
  34. 3 cm
  35. 34 sq cm
  36. 3 cm
  37. 18 cm
  38. 22 cm
  39. 32 sq cm
  40. 54 cm

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