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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 788 · 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 128 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 112 cm
  2. 2.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 56 cm (b) 44 cm (c) 28 cm (d) 192 cm
  3. 3.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 22 cm (b) 150 cm (c) 11 cm (d) 12 cm
  4. 4.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 60 sq cm (c) 22 sq cm (d) 44 sq cm
  5. 5.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
  6. 6.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 10 sq cm (d) 25 sq cm
  7. 7.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 48 cm (d) 22 cm
  8. 8.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 26 sq cm (d) 169 sq cm
  9. 9.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 54 sq cm (d) 63 sq cm
  10. 10.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 168 sq cm (d) 154 sq cm
  11. 11.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
  12. 12.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 40 sq cm (c) 24 sq cm (d) 32 sq cm
  13. 13.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 45 sq cm (b) 36 sq cm (c) 18 sq cm (d) 60 sq cm
  14. 14.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 196 sq cm (d) 28 sq cm
  15. 15.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 7 cm (c) 96 cm (d) 14 cm
  16. 16.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 91 sq cm (d) 78 sq cm
  17. 17.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 50 sq cm (b) 144 sq cm (c) 126 sq cm (d) 25 sq cm
  18. 18.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 108 cm
  19. 19.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 24 sq cm (b) 128 sq cm (c) 144 sq cm (d) 48 sq cm
  20. 20.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 28 cm (c) 5 cm (d) 10 cm
  21. 21.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 22 cm (b) 11 cm (c) 170 cm (d) 12 cm
  22. 22.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 20 cm (d) 42 cm
  23. 23.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
  24. 24.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 160 cm
  25. 25.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
  26. 26.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm
  27. 27.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 24 cm (b) 4 cm (c) 8 cm (d) 5 cm
  28. 28.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 120 cm (b) 34 cm (c) 44 cm (d) 22 cm
  29. 29.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
  30. 30.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 49 sq cm (d) 14 sq cm
  31. 31.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 52 sq cm (b) 140 sq cm (c) 120 sq cm (d) 26 sq cm
  32. 32.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 70 sq cm (c) 34 sq cm (d) 80 sq cm
  33. 33.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 44 sq cm (d) 55 sq cm
  34. 34.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 90 sq cm (b) 38 sq cm (c) 19 sq cm (d) 100 sq cm
  35. 35.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 57 sq cm (c) 76 sq cm (d) 44 sq cm
  36. 36.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 121 sq cm (d) 110 sq cm
  37. 37.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 42 cm (b) 8 cm (c) 5 cm (d) 4 cm
  38. 38.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 198 cm
  39. 39.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 108 sq cm (d) 96 sq cm
  40. 40.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 44 cm (c) 10 cm (d) 5 cm

Answer key

  1. 8 cm
  2. 56 cm
  3. 11 cm
  4. 40 sq cm
  5. 121 sq cm
  6. 25 sq cm
  7. 28 cm
  8. 169 sq cm
  9. 54 sq cm
  10. 154 sq cm
  11. 64 sq cm
  12. 32 sq cm
  13. 45 sq cm
  14. 196 sq cm
  15. 7 cm
  16. 78 sq cm
  17. 126 sq cm
  18. 7 cm
  19. 128 sq cm
  20. 5 cm
  21. 11 cm
  22. 26 cm
  23. 144 sq cm
  24. 11 cm
  25. 36 sq cm
  26. 225 sq cm
  27. 4 cm
  28. 44 cm
  29. 81 sq cm
  30. 49 sq cm
  31. 120 sq cm
  32. 70 sq cm
  33. 44 sq cm
  34. 90 sq cm
  35. 57 sq cm
  36. 110 sq cm
  37. 4 cm
  38. 12 cm
  39. 96 sq cm
  40. 5 cm

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