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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 112 · 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 8 cm wide. What is its perimeter? (a) 30 cm (b) 19 cm (c) 38 cm (d) 88 cm
  2. 2.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 22 cm (b) 150 cm (c) 12 cm (d) 11 cm
  3. 3.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 32 sq cm (d) 40 sq cm
  4. 4.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 6 cm (c) 60 cm (d) 7 cm
  5. 5.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
  6. 6.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 196 sq cm (d) 52 sq cm
  7. 7.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 50 sq cm (b) 133 sq cm (c) 25 sq cm (d) 114 sq cm
  8. 8.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 30 cm (c) 13 cm (d) 26 cm
  9. 9.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 180 cm (b) 58 cm (c) 49 cm (d) 29 cm
  10. 10.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 42 sq cm (c) 21 sq cm (d) 57 sq cm
  11. 11.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 19 cm (c) 11 cm (d) 24 cm
  12. 12.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 44 cm (c) 15 cm (d) 26 cm
  13. 13.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 38 cm (b) 32 cm (c) 19 cm (d) 78 cm
  14. 14.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 24 cm (c) 12 cm (d) 13 cm
  15. 15.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 20 cm (d) 18 cm
  16. 16.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
  17. 17.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 10 cm (c) 60 cm (d) 5 cm
  18. 18.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 14 cm (c) 45 cm (d) 28 cm
  19. 19.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 152 cm (b) 9 cm (c) 18 cm (d) 10 cm
  20. 20.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 143 cm
  21. 21.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 26 cm (c) 17 cm (d) 72 cm
  22. 22.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 4 cm (c) 34 cm (d) 3 cm
  23. 23.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 96 cm (c) 10 cm (d) 9 cm
  24. 24.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
  25. 25.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 24 cm (b) 6 cm (c) 10 cm (d) 5 cm
  26. 26.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 48 sq cm (b) 32 sq cm (c) 36 sq cm (d) 18 sq cm
  27. 27.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 10 sq cm (d) 16 sq cm
  28. 28.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 45 sq cm (c) 36 sq cm (d) 13 sq cm
  29. 29.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 56 cm
  30. 30.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 22 cm (d) 20 cm
  31. 31.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 30 sq cm (c) 15 sq cm (d) 56 sq cm
  32. 32.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 192 sq cm (b) 176 sq cm (c) 54 sq cm (d) 27 sq cm
  33. 33.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 48 sq cm (b) 135 sq cm (c) 150 sq cm (d) 24 sq cm
  34. 34.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 35 sq cm (c) 42 sq cm (d) 24 sq cm
  35. 35.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 10 cm (c) 117 cm (d) 11 cm
  36. 36.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 91 cm (b) 16 cm (c) 8 cm (d) 9 cm
  37. 37.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 18 cm (c) 10 cm (d) 9 cm
  38. 38.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 54 cm (b) 152 cm (c) 46 cm (d) 27 cm
  39. 39.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 11 sq cm (c) 28 sq cm (d) 22 sq cm
  40. 40.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 22 cm (c) 13 cm (d) 24 cm

Answer key

  1. 38 cm
  2. 11 cm
  3. 32 sq cm
  4. 6 cm
  5. 196 sq cm
  6. 169 sq cm
  7. 114 sq cm
  8. 26 cm
  9. 58 cm
  10. 38 sq cm
  11. 22 cm
  12. 30 cm
  13. 38 cm
  14. 12 cm
  15. 20 cm
  16. 36 sq cm
  17. 5 cm
  18. 28 cm
  19. 9 cm
  20. 12 cm
  21. 34 cm
  22. 3 cm
  23. 9 cm
  24. 100 sq cm
  25. 5 cm
  26. 32 sq cm
  27. 16 sq cm
  28. 36 sq cm
  29. 5 cm
  30. 22 cm
  31. 56 sq cm
  32. 176 sq cm
  33. 135 sq cm
  34. 35 sq cm
  35. 10 cm
  36. 8 cm
  37. 9 cm
  38. 54 cm
  39. 28 sq cm
  40. 26 cm

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