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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 217 · 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 18 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 42 cm (d) 108 cm
  2. 2.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 240 sq cm (b) 32 sq cm (c) 260 sq cm (d) 64 sq cm
  3. 3.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 22 sq cm (d) 44 sq cm
  4. 4.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 209 cm (b) 30 cm (c) 60 cm (d) 49 cm
  5. 5.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 30 cm (d) 23 cm
  6. 6.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
  7. 7.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 209 cm
  8. 8.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 11 cm (c) 22 cm (d) 18 cm
  9. 9.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 60 cm (c) 6 cm (d) 10 cm
  10. 10.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 56 sq cm (b) 160 sq cm (c) 180 sq cm (d) 28 sq cm
  11. 11.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 16 cm (d) 18 cm
  12. 12.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 24 cm (b) 6 cm (c) 4 cm (d) 3 cm
  13. 13.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 18 cm (c) 28 cm (d) 36 cm
  14. 14.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 100 sq cm (b) 25 sq cm (c) 50 sq cm (d) 120 sq cm
  15. 15.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 126 cm (b) 11 cm (c) 20 cm (d) 10 cm
  16. 16.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 22 cm (c) 17 cm (d) 11 cm
  17. 17.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
  18. 18.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 70 sq cm (c) 80 sq cm (d) 34 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) 196 sq cm (d) 52 sq cm
  20. 20.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
  21. 21.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 9 cm (c) 10 cm (d) 18 cm
  22. 22.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 112 cm (c) 44 cm (d) 22 cm
  23. 23.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 54 cm (d) 24 cm
  24. 24.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 90 cm
  25. 25.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 90 sq cm (c) 100 sq cm (d) 38 sq cm
  26. 26.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 18 sq cm (c) 12 sq cm (d) 16 sq cm
  27. 27.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 57 cm (b) 4 cm (c) 5 cm (d) 8 cm
  28. 28.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 169 sq cm (d) 144 sq cm
  29. 29.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 26 sq cm (b) 160 sq cm (c) 176 sq cm (d) 52 sq cm
  30. 30.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 27 cm (b) 162 cm (c) 45 cm (d) 54 cm
  31. 31.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 120 sq cm (b) 108 sq cm (c) 21 sq cm (d) 42 sq cm
  32. 32.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 120 sq cm (b) 22 sq cm (c) 105 sq cm (d) 44 sq cm
  33. 33.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 46 cm (b) 42 cm (c) 23 cm (d) 76 cm
  34. 34.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 18 cm (b) 10 cm (c) 152 cm (d) 9 cm
  35. 35.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 16 cm (c) 98 cm (d) 8 cm
  36. 36.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 30 sq cm (c) 48 sq cm (d) 15 sq cm
  37. 37.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 12 cm
  38. 38.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 14 cm (c) 66 cm (d) 8 cm
  39. 39.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 24 cm (c) 20 cm (d) 12 cm
  40. 40.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 42 cm (b) 54 cm (c) 39 cm (d) 21 cm

Answer key

  1. 48 cm
  2. 240 sq cm
  3. 121 sq cm
  4. 60 cm
  5. 26 cm
  6. 225 sq cm
  7. 12 cm
  8. 22 cm
  9. 5 cm
  10. 160 sq cm
  11. 20 cm
  12. 3 cm
  13. 36 cm
  14. 100 sq cm
  15. 10 cm
  16. 22 cm
  17. 196 sq cm
  18. 70 sq cm
  19. 169 sq cm
  20. 49 sq cm
  21. 9 cm
  22. 44 cm
  23. 30 cm
  24. 6 cm
  25. 90 sq cm
  26. 12 sq cm
  27. 4 cm
  28. 144 sq cm
  29. 160 sq cm
  30. 54 cm
  31. 108 sq cm
  32. 105 sq cm
  33. 46 cm
  34. 9 cm
  35. 8 cm
  36. 36 sq cm
  37. 2 cm
  38. 7 cm
  39. 24 cm
  40. 42 cm

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