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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 552 · 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 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 22 cm (c) 12 cm (d) 11 cm
  2. 2.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 44 cm (d) 114 cm
  3. 3.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 256 sq cm (d) 30 sq cm
  4. 4.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
  5. 5.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 51 sq cm (c) 68 sq cm (d) 20 sq cm
  6. 6.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 22 cm (b) 35 cm (c) 117 cm (d) 44 cm
  7. 7.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 52 cm (b) 17 cm (c) 30 cm (d) 34 cm
  8. 8.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
  9. 9.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
  10. 10.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 4 cm (c) 3 cm (d) 2 cm
  11. 11.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 34 sq cm (c) 17 sq cm (d) 70 sq cm
  12. 12.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 200 cm (b) 12 cm (c) 22 cm (d) 11 cm
  13. 13.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 160 cm (c) 48 cm (d) 56 cm
  14. 14.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 18 sq cm (b) 84 sq cm (c) 36 sq cm (d) 72 sq cm
  15. 15.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 75 cm (c) 6 cm (d) 7 cm
  16. 16.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 114 cm (b) 7 cm (c) 8 cm (d) 14 cm
  17. 17.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 12 cm (c) 85 cm (d) 7 cm
  18. 18.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 56 sq cm (d) 225 sq cm
  19. 19.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 20 sq cm (d) 100 sq cm
  20. 20.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm
  21. 21.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 19 cm (c) 24 cm (d) 35 cm
  22. 22.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 32 cm (c) 28 cm (d) 16 cm
  23. 23.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 12 cm (c) 130 cm (d) 22 cm
  24. 24.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 32 sq cm (d) 81 sq cm
  25. 25.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 14 cm (b) 66 cm (c) 8 cm (d) 7 cm
  26. 26.A rectangle is 16 cm long and 10 cm wide. What is its perimeter? (a) 52 cm (b) 160 cm (c) 42 cm (d) 26 cm
  27. 27.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 88 sq cm (d) 99 sq cm
  28. 28.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 16 sq cm (c) 32 sq cm (d) 48 sq cm
  29. 29.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 84 cm (c) 20 cm (d) 40 cm
  30. 30.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 120 cm (b) 14 cm (c) 8 cm (d) 7 cm
  31. 31.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 27 cm (c) 12 cm (d) 24 cm
  32. 32.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 56 cm (b) 10 cm (c) 6 cm (d) 5 cm
  33. 33.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 34 cm (d) 60 cm
  34. 34.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
  35. 35.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
  36. 36.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 112 cm
  37. 37.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 1 cm (b) 4 cm (c) 3 cm (d) 2 cm
  38. 38.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 48 sq cm (d) 36 sq cm
  39. 39.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 39 sq cm (d) 52 sq cm
  40. 40.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 42 sq cm (c) 12 sq cm (d) 35 sq cm

Answer key

  1. 11 cm
  2. 50 cm
  3. 225 sq cm
  4. 81 sq cm
  5. 51 sq cm
  6. 44 cm
  7. 34 cm
  8. 25 sq cm
  9. 9 cm
  10. 2 cm
  11. 70 sq cm
  12. 11 cm
  13. 56 cm
  14. 72 sq cm
  15. 6 cm
  16. 7 cm
  17. 6 cm
  18. 196 sq cm
  19. 100 sq cm
  20. 49 sq cm
  21. 24 cm
  22. 32 cm
  23. 11 cm
  24. 64 sq cm
  25. 7 cm
  26. 52 cm
  27. 88 sq cm
  28. 48 sq cm
  29. 40 cm
  30. 7 cm
  31. 24 cm
  32. 5 cm
  33. 38 cm
  34. 121 sq cm
  35. 144 sq cm
  36. 8 cm
  37. 2 cm
  38. 36 sq cm
  39. 39 sq cm
  40. 35 sq cm

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