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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 914 · 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 11 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 24 cm (c) 13 cm (d) 26 cm
  2. 2.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 153 cm (c) 10 cm (d) 20 cm
  3. 3.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 25 sq cm (d) 20 sq cm
  4. 4.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
  5. 5.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 46 sq cm (c) 128 sq cm (d) 23 sq cm
  6. 6.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 20 sq cm (c) 28 sq cm (d) 10 sq cm
  7. 7.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 9 sq cm (c) 18 sq cm (d) 19 sq cm
  8. 8.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 17 cm (d) 30 cm
  9. 9.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 65 sq cm (d) 78 sq cm
  10. 10.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 48 cm (d) 22 cm
  11. 11.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 91 cm (c) 8 cm (d) 16 cm
  12. 12.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 15 cm
  13. 13.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
  14. 14.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 100 sq cm (d) 121 sq cm
  15. 15.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
  16. 16.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
  17. 17.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 37 cm (b) 21 cm (c) 42 cm (d) 80 cm
  18. 18.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 21 sq cm (b) 96 sq cm (c) 42 sq cm (d) 80 sq cm
  19. 19.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 42 cm (d) 20 cm
  20. 20.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 50 sq cm (b) 144 sq cm (c) 126 sq cm (d) 25 sq cm
  21. 21.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 108 cm (b) 33 cm (c) 42 cm (d) 21 cm
  22. 22.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 28 cm (c) 32 cm (d) 30 cm
  23. 23.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 52 sq cm (b) 162 sq cm (c) 144 sq cm (d) 26 sq cm
  24. 24.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 160 cm (b) 22 cm (c) 11 cm (d) 12 cm
  25. 25.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 29 cm (b) 204 cm (c) 58 cm (d) 46 cm
  26. 26.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
  27. 27.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 15 cm (c) 9 cm (d) 19 cm
  28. 28.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 52 cm (b) 26 cm (c) 46 cm (d) 120 cm
  29. 29.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 28 cm (c) 18 cm (d) 80 cm
  30. 30.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 16 sq cm (c) 8 sq cm (d) 12 sq cm
  31. 31.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 11 sq cm (d) 30 sq cm
  32. 32.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 117 cm (b) 11 cm (c) 20 cm (d) 10 cm
  33. 33.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 42 cm (b) 34 cm (c) 104 cm (d) 21 cm
  34. 34.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 114 sq cm (b) 133 sq cm (c) 25 sq cm (d) 50 sq cm
  35. 35.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 78 sq cm (b) 19 sq cm (c) 38 sq cm (d) 91 sq cm
  36. 36.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 234 sq cm (d) 216 sq cm
  37. 37.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 66 cm (b) 14 cm (c) 8 cm (d) 7 cm
  38. 38.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 128 cm (b) 9 cm (c) 18 cm (d) 10 cm
  39. 39.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 36 sq cm (d) 24 sq cm
  40. 40.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 26 sq cm (b) 182 sq cm (c) 52 sq cm (d) 168 sq cm

Answer key

  1. 26 cm
  2. 10 cm
  3. 25 sq cm
  4. 121 sq cm
  5. 112 sq cm
  6. 21 sq cm
  7. 18 sq cm
  8. 22 cm
  9. 65 sq cm
  10. 28 cm
  11. 8 cm
  12. 2 cm
  13. 196 sq cm
  14. 100 sq cm
  15. 225 sq cm
  16. 144 sq cm
  17. 42 cm
  18. 80 sq cm
  19. 26 cm
  20. 126 sq cm
  21. 42 cm
  22. 32 cm
  23. 144 sq cm
  24. 11 cm
  25. 58 cm
  26. 36 sq cm
  27. 18 cm
  28. 52 cm
  29. 36 cm
  30. 12 sq cm
  31. 30 sq cm
  32. 10 cm
  33. 42 cm
  34. 114 sq cm
  35. 78 sq cm
  36. 216 sq cm
  37. 7 cm
  38. 9 cm
  39. 24 sq cm
  40. 168 sq cm

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