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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 339 · 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 has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 95 cm
  2. 2.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 32 sq cm (d) 40 sq cm
  3. 3.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 38 cm (b) 156 cm (c) 50 cm (d) 25 cm
  4. 4.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 90 cm (b) 14 cm (c) 8 cm (d) 7 cm
  5. 5.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 57 cm (c) 44 cm (d) 41 cm
  6. 6.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 4 cm (c) 39 cm (d) 5 cm
  7. 7.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 39 sq cm (c) 15 sq cm (d) 30 sq cm
  8. 8.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 17 cm (c) 21 cm (d) 10 cm
  9. 9.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 180 cm (b) 20 cm (c) 10 cm (d) 11 cm
  10. 10.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 95 sq cm (b) 76 sq cm (c) 46 sq cm (d) 23 sq cm
  11. 11.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 64 cm (b) 40 cm (c) 36 cm (d) 20 cm
  12. 12.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
  13. 13.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 25 cm (d) 33 cm
  14. 14.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 18 cm (c) 128 cm (d) 9 cm
  15. 15.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 50 sq cm (b) 160 sq cm (c) 144 sq cm (d) 25 sq cm
  16. 16.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 32 cm (c) 12 cm (d) 20 cm
  17. 17.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 18 cm (b) 112 cm (c) 9 cm (d) 10 cm
  18. 18.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 135 sq cm (b) 23 sq cm (c) 46 sq cm (d) 120 sq cm
  19. 19.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 8 cm (c) 54 cm (d) 4 cm
  20. 20.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 26 cm (b) 30 cm (c) 44 cm (d) 15 cm
  21. 21.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 60 cm
  22. 22.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 49 sq cm (d) 28 sq cm
  23. 23.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
  24. 24.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 28 cm (b) 44 cm (c) 56 cm (d) 192 cm
  25. 25.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 117 sq cm (b) 104 sq cm (c) 21 sq cm (d) 42 sq cm
  26. 26.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 26 sq cm (d) 196 sq cm
  27. 27.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 160 sq cm (b) 26 sq cm (c) 176 sq cm (d) 52 sq cm
  28. 28.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 58 sq cm (b) 216 sq cm (c) 29 sq cm (d) 198 sq cm
  29. 29.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 12 cm (c) 160 cm (d) 11 cm
  30. 30.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 12 cm (c) 8 cm (d) 14 cm
  31. 31.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 3 cm (b) 1 cm (c) 2 cm (d) 4 cm
  32. 32.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 11 sq cm (c) 18 sq cm (d) 22 sq cm
  33. 33.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 225 sq cm (d) 196 sq cm
  34. 34.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 26 sq cm (c) 13 sq cm (d) 30 sq cm
  35. 35.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 28 sq cm (b) 180 sq cm (c) 198 sq cm (d) 56 sq cm
  36. 36.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 21 sq cm (b) 120 sq cm (c) 42 sq cm (d) 108 sq cm
  37. 37.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 32 cm (c) 16 cm (d) 60 cm
  38. 38.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
  39. 39.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 30 sq cm (d) 10 sq cm
  40. 40.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 32 sq cm (b) 55 sq cm (c) 16 sq cm (d) 66 sq cm

Answer key

  1. 6 cm
  2. 32 sq cm
  3. 50 cm
  4. 7 cm
  5. 44 cm
  6. 4 cm
  7. 26 sq cm
  8. 20 cm
  9. 10 cm
  10. 76 sq cm
  11. 40 cm
  12. 144 sq cm
  13. 28 cm
  14. 9 cm
  15. 144 sq cm
  16. 24 cm
  17. 9 cm
  18. 120 sq cm
  19. 4 cm
  20. 30 cm
  21. 4 cm
  22. 49 sq cm
  23. 100 sq cm
  24. 56 cm
  25. 104 sq cm
  26. 169 sq cm
  27. 160 sq cm
  28. 198 sq cm
  29. 11 cm
  30. 16 cm
  31. 2 cm
  32. 18 sq cm
  33. 196 sq cm
  34. 30 sq cm
  35. 180 sq cm
  36. 108 sq cm
  37. 32 cm
  38. 8 cm
  39. 24 sq cm
  40. 55 sq cm

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