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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 705 · 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 3 cm wide. What is its perimeter? (a) 57 cm (b) 44 cm (c) 41 cm (d) 22 cm
  2. 2.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 23 sq cm (c) 46 sq cm (d) 130 sq cm
  3. 3.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 15 cm (c) 24 cm (d) 30 cm
  4. 4.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 27 sq cm
  5. 5.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 16 cm (b) 8 cm (c) 63 cm (d) 9 cm
  6. 6.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
  7. 7.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 220 sq cm (c) 62 sq cm (d) 240 sq cm
  8. 8.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
  9. 9.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 180 sq cm (d) 165 sq cm
  10. 10.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 21 cm
  11. 11.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 20 cm (b) 11 cm (c) 135 cm (d) 10 cm
  12. 12.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 22 sq cm (d) 121 sq cm
  13. 13.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 24 cm (c) 108 cm (d) 48 cm
  14. 14.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 2 cm (c) 16 cm (d) 3 cm
  15. 15.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 22 cm (c) 42 cm (d) 44 cm
  16. 16.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 55 cm (c) 12 cm (d) 7 cm
  17. 17.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 12 cm (c) 3 cm (d) 6 cm
  18. 18.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 32 sq cm (d) 64 sq cm
  19. 19.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 52 sq cm (d) 196 sq cm
  20. 20.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 42 cm (b) 37 cm (c) 21 cm (d) 80 cm
  21. 21.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 16 cm (c) 30 cm (d) 32 cm
  22. 22.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 90 sq cm (b) 38 sq cm (c) 100 sq cm (d) 19 sq cm
  23. 23.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 10 cm (c) 11 cm (d) 20 cm
  24. 24.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 153 sq cm (d) 136 sq cm
  25. 25.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 36 sq cm (b) 77 sq cm (c) 88 sq cm (d) 18 sq cm
  26. 26.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 10 cm (c) 20 cm (d) 21 cm
  27. 27.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 16 cm (b) 84 cm (c) 8 cm (d) 9 cm
  28. 28.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 77 cm (b) 8 cm (c) 9 cm (d) 16 cm
  29. 29.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 45 cm (c) 5 cm (d) 4 cm
  30. 30.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 48 cm (c) 16 cm (d) 28 cm
  31. 31.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 30 sq cm (c) 36 sq cm (d) 22 sq cm
  32. 32.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 37 cm (b) 126 cm (c) 46 cm (d) 23 cm
  33. 33.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 60 sq cm (b) 228 sq cm (c) 209 sq cm (d) 30 sq cm
  34. 34.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 7 cm (c) 40 cm (d) 12 cm
  35. 35.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 60 sq cm (b) 234 sq cm (c) 216 sq cm (d) 30 sq cm
  36. 36.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 150 sq cm (b) 50 sq cm (c) 25 sq cm (d) 165 sq cm
  37. 37.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 78 sq cm (b) 18 sq cm (c) 65 sq cm (d) 36 sq cm
  38. 38.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 13 cm (c) 4 cm (d) 2 cm
  39. 39.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 11 cm (c) 22 cm (d) 120 cm
  40. 40.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 190 sq cm (d) 171 sq cm

Answer key

  1. 44 cm
  2. 130 sq cm
  3. 30 cm
  4. 27 sq cm
  5. 8 cm
  6. 196 sq cm
  7. 220 sq cm
  8. 225 sq cm
  9. 165 sq cm
  10. 4 cm
  11. 10 cm
  12. 121 sq cm
  13. 48 cm
  14. 2 cm
  15. 44 cm
  16. 6 cm
  17. 3 cm
  18. 64 sq cm
  19. 169 sq cm
  20. 42 cm
  21. 32 cm
  22. 90 sq cm
  23. 10 cm
  24. 136 sq cm
  25. 77 sq cm
  26. 20 cm
  27. 8 cm
  28. 8 cm
  29. 4 cm
  30. 32 cm
  31. 30 sq cm
  32. 46 cm
  33. 209 sq cm
  34. 6 cm
  35. 216 sq cm
  36. 150 sq cm
  37. 65 sq cm
  38. 2 cm
  39. 11 cm
  40. 171 sq cm

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