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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 695 · 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 30 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 3 cm (c) 20 cm (d) 6 cm
  2. 2.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 77 cm (b) 18 cm (c) 29 cm (d) 36 cm
  3. 3.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 169 sq cm (d) 196 sq cm
  4. 4.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 26 cm (b) 52 cm (c) 45 cm (d) 133 cm
  5. 5.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 171 cm (b) 10 cm (c) 20 cm (d) 11 cm
  6. 6.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 16 cm (b) 140 cm (c) 8 cm (d) 9 cm
  7. 7.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
  8. 8.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 23 cm (c) 30 cm (d) 56 cm
  9. 9.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 30 sq cm (d) 225 sq cm
  10. 10.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 56 sq cm (b) 36 sq cm (c) 70 sq cm (d) 18 sq cm
  11. 11.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 60 sq cm (c) 44 sq cm (d) 40 sq cm
  12. 12.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 132 cm (b) 35 cm (c) 23 cm (d) 46 cm
  13. 13.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 14 sq cm (d) 28 sq cm
  14. 14.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
  15. 15.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 156 cm (d) 38 cm
  16. 16.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 60 sq cm (d) 72 sq cm
  17. 17.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 112 cm (b) 18 cm (c) 9 cm (d) 10 cm
  18. 18.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 34 cm (b) 22 cm (c) 44 cm (d) 120 cm
  19. 19.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) 20 cm (d) 11 cm
  20. 20.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 180 sq cm (d) 160 sq cm
  21. 21.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 17 sq cm (c) 34 sq cm (d) 70 sq cm
  22. 22.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 48 sq cm (d) 128 sq cm
  23. 23.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 21 sq cm (d) 14 sq cm
  24. 24.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 30 sq cm (c) 54 sq cm (d) 15 sq cm
  25. 25.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 24 sq cm (d) 169 sq cm
  26. 26.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 22 cm (c) 190 cm (d) 12 cm
  27. 27.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 35 cm (b) 6 cm (c) 7 cm (d) 12 cm
  28. 28.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 18 sq cm (d) 100 sq cm
  29. 29.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 44 cm (d) 80 cm
  30. 30.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 49 sq cm (d) 24 sq cm
  31. 31.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
  32. 32.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 39 sq cm (b) 15 sq cm (c) 30 sq cm (d) 26 sq cm
  33. 33.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 24 cm (c) 12 cm (d) 13 cm
  34. 34.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 18 cm
  35. 35.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 64 sq cm (d) 32 sq cm
  36. 36.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 9 cm (c) 18 cm (d) 16 cm
  37. 37.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 31 cm (b) 50 cm (c) 228 cm (d) 62 cm
  38. 38.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 54 cm (c) 140 cm (d) 47 cm
  39. 39.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 8 cm (c) 12 cm (d) 14 cm
  40. 40.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 22 cm (c) 130 cm (d) 11 cm

Answer key

  1. 3 cm
  2. 36 cm
  3. 169 sq cm
  4. 52 cm
  5. 10 cm
  6. 8 cm
  7. 196 sq cm
  8. 30 cm
  9. 225 sq cm
  10. 56 sq cm
  11. 40 sq cm
  12. 46 cm
  13. 49 sq cm
  14. 24 cm
  15. 50 cm
  16. 60 sq cm
  17. 9 cm
  18. 44 cm
  19. 10 cm
  20. 160 sq cm
  21. 70 sq cm
  22. 128 sq cm
  23. 14 sq cm
  24. 54 sq cm
  25. 144 sq cm
  26. 11 cm
  27. 6 cm
  28. 81 sq cm
  29. 48 cm
  30. 36 sq cm
  31. 100 sq cm
  32. 26 sq cm
  33. 12 cm
  34. 2 cm
  35. 64 sq cm
  36. 18 cm
  37. 62 cm
  38. 54 cm
  39. 16 cm
  40. 11 cm

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