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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 162 · 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 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 30 cm (c) 17 cm (d) 22 cm
  2. 2.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 18 cm (c) 19 cm (d) 9 cm
  3. 3.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 28 sq cm (c) 21 sq cm (d) 10 sq cm
  4. 4.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 65 cm
  5. 5.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 32 cm (c) 4 cm (d) 3 cm
  6. 6.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 117 sq cm (b) 42 sq cm (c) 21 sq cm (d) 104 sq cm
  7. 7.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
  8. 8.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 6 cm (c) 4 cm (d) 3 cm
  9. 9.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 22 sq cm (c) 33 sq cm (d) 13 sq cm
  10. 10.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 20 cm (b) 4 cm (c) 6 cm (d) 3 cm
  11. 11.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 32 sq cm (c) 24 sq cm (d) 22 sq cm
  12. 12.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 128 sq cm (d) 112 sq cm
  13. 13.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 11 cm (c) 22 cm (d) 190 cm
  14. 14.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 112 sq cm (d) 96 sq cm
  15. 15.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 66 cm (b) 7 cm (c) 8 cm (d) 14 cm
  16. 16.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 96 sq cm (b) 40 sq cm (c) 20 sq cm (d) 108 sq cm
  17. 17.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 70 cm
  18. 18.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
  19. 19.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 88 cm
  20. 20.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 36 cm (c) 8 cm (d) 4 cm
  21. 21.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 75 cm (c) 35 cm (d) 20 cm
  22. 22.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 40 cm (b) 52 cm (c) 26 cm (d) 168 cm
  23. 23.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 196 sq cm (d) 26 sq cm
  24. 24.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 187 sq cm (b) 170 sq cm (c) 27 sq cm (d) 54 sq cm
  25. 25.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 16 cm (d) 24 cm
  26. 26.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 24 cm (c) 10 cm (d) 5 cm
  27. 27.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 36 sq cm (d) 24 sq cm
  28. 28.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
  29. 29.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 200 cm (b) 30 cm (c) 50 cm (d) 60 cm
  30. 30.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 44 sq cm (b) 126 sq cm (c) 112 sq cm (d) 22 sq cm
  31. 31.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 7 cm (c) 90 cm (d) 14 cm
  32. 32.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 64 sq cm (d) 14 sq cm
  33. 33.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 15 sq cm (c) 36 sq cm (d) 30 sq cm
  34. 34.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 23 sq cm (c) 46 sq cm (d) 126 sq cm
  35. 35.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 60 cm (b) 209 cm (c) 49 cm (d) 30 cm
  36. 36.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 30 cm (b) 60 cm (c) 216 cm (d) 48 cm
  37. 37.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 190 cm (b) 58 cm (c) 48 cm (d) 29 cm
  38. 38.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 12 cm (c) 24 cm (d) 13 cm
  39. 39.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 16 cm (b) 9 cm (c) 77 cm (d) 8 cm
  40. 40.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 78 cm (b) 14 cm (c) 7 cm (d) 8 cm

Answer key

  1. 22 cm
  2. 18 cm
  3. 21 sq cm
  4. 6 cm
  5. 3 cm
  6. 104 sq cm
  7. 81 sq cm
  8. 3 cm
  9. 22 sq cm
  10. 3 cm
  11. 24 sq cm
  12. 112 sq cm
  13. 11 cm
  14. 96 sq cm
  15. 7 cm
  16. 96 sq cm
  17. 8 cm
  18. 25 sq cm
  19. 9 cm
  20. 4 cm
  21. 40 cm
  22. 52 cm
  23. 169 sq cm
  24. 170 sq cm
  25. 20 cm
  26. 5 cm
  27. 36 sq cm
  28. 11 cm
  29. 60 cm
  30. 112 sq cm
  31. 7 cm
  32. 49 sq cm
  33. 36 sq cm
  34. 126 sq cm
  35. 60 cm
  36. 60 cm
  37. 58 cm
  38. 12 cm
  39. 8 cm
  40. 7 cm

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