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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 79 · 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 153 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 10 cm (c) 136 cm (d) 18 cm
  2. 2.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 70 cm
  3. 3.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 28 cm (c) 14 cm (d) 25 cm
  4. 4.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 30 sq cm (c) 40 sq cm (d) 26 sq cm
  5. 5.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
  6. 6.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 21 cm (c) 40 cm (d) 13 cm
  7. 7.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
  8. 8.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 16 cm (c) 112 cm (d) 8 cm
  9. 9.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 12 sq cm (c) 32 sq cm (d) 24 sq cm
  10. 10.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 14 cm (b) 7 cm (c) 54 cm (d) 8 cm
  11. 11.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 51 sq cm (c) 68 sq cm (d) 40 sq cm
  12. 12.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 25 cm (c) 16 cm (d) 32 cm
  13. 13.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 42 cm (b) 180 cm (c) 54 cm (d) 27 cm
  14. 14.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 8 cm (c) 16 cm (d) 9 cm
  15. 15.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
  16. 16.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 25 cm (b) 39 cm (c) 50 cm (d) 154 cm
  17. 17.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 46 cm (b) 29 cm (c) 58 cm (d) 204 cm
  18. 18.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
  19. 19.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 12 cm (b) 32 cm (c) 24 cm (d) 20 cm
  20. 20.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
  21. 21.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 38 sq cm (b) 91 sq cm (c) 19 sq cm (d) 78 sq cm
  22. 22.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 150 sq cm (d) 135 sq cm
  23. 23.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 120 cm (b) 22 cm (c) 11 cm (d) 12 cm
  24. 24.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 7 cm (c) 80 cm (d) 12 cm
  25. 25.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 44 cm (c) 6 cm (d) 5 cm
  26. 26.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 40 sq cm (c) 50 sq cm (d) 14 sq cm
  27. 27.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 225 sq cm (d) 60 sq cm
  28. 28.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 18 sq cm (c) 8 sq cm (d) 16 sq cm
  29. 29.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 4 cm (c) 48 cm (d) 5 cm
  30. 30.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
  31. 31.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 200 cm (b) 11 cm (c) 12 cm (d) 22 cm
  32. 32.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 20 cm (b) 162 cm (c) 11 cm (d) 10 cm
  33. 33.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 160 cm (b) 28 cm (c) 56 cm (d) 48 cm
  34. 34.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 28 sq cm (c) 22 sq cm (d) 11 sq cm
  35. 35.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 81 sq cm (d) 32 sq cm
  36. 36.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) 4 cm (d) 5 cm
  37. 37.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 28 cm (c) 18 cm (d) 80 cm
  38. 38.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 7 cm (b) 65 cm (c) 6 cm (d) 12 cm
  39. 39.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 16 cm
  40. 40.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 52 cm (b) 6 cm (c) 10 cm (d) 5 cm

Answer key

  1. 9 cm
  2. 8 cm
  3. 28 cm
  4. 30 sq cm
  5. 169 sq cm
  6. 26 cm
  7. 36 sq cm
  8. 8 cm
  9. 32 sq cm
  10. 7 cm
  11. 51 sq cm
  12. 32 cm
  13. 54 cm
  14. 8 cm
  15. 100 sq cm
  16. 50 cm
  17. 58 cm
  18. 49 sq cm
  19. 24 cm
  20. 196 sq cm
  21. 78 sq cm
  22. 135 sq cm
  23. 11 cm
  24. 6 cm
  25. 5 cm
  26. 40 sq cm
  27. 225 sq cm
  28. 12 sq cm
  29. 4 cm
  30. 121 sq cm
  31. 11 cm
  32. 10 cm
  33. 56 cm
  34. 28 sq cm
  35. 64 sq cm
  36. 4 cm
  37. 36 cm
  38. 6 cm
  39. 3 cm
  40. 5 cm

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