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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 998 · 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 is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 66 sq cm (c) 34 sq cm (d) 17 sq cm
  2. 2.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 11 cm (c) 22 cm (d) 170 cm
  3. 3.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 20 cm (c) 10 cm (d) 18 cm
  4. 4.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
  5. 5.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 54 sq cm (b) 195 sq cm (c) 27 sq cm (d) 180 sq cm
  6. 6.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 38 cm (b) 156 cm (c) 25 cm (d) 50 cm
  7. 7.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 16 cm
  8. 8.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 22 sq cm (c) 11 sq cm (d) 32 sq cm
  9. 9.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 16 cm (c) 26 cm (d) 60 cm
  10. 10.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 28 sq cm (d) 225 sq cm
  11. 11.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 35 sq cm (b) 42 sq cm (c) 24 sq cm (d) 12 sq cm
  12. 12.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 165 sq cm (b) 52 sq cm (c) 26 sq cm (d) 180 sq cm
  13. 13.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 162 sq cm (b) 26 sq cm (c) 144 sq cm (d) 52 sq cm
  14. 14.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
  15. 15.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 68 cm
  16. 16.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 117 cm
  17. 17.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 4 cm (b) 1 cm (c) 2 cm (d) 3 cm
  18. 18.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 28 cm (d) 26 cm
  19. 19.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 8 cm (b) 6 cm (c) 4 cm (d) 3 cm
  20. 20.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 66 cm (d) 28 cm
  21. 21.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 112 cm (b) 16 cm (c) 9 cm (d) 8 cm
  22. 22.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 34 cm (c) 4 cm (d) 3 cm
  23. 23.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 56 sq cm (c) 70 sq cm (d) 18 sq cm
  24. 24.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 126 cm (c) 20 cm (d) 10 cm
  25. 25.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 23 sq cm (c) 46 sq cm (d) 130 sq cm
  26. 26.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 27 sq cm (d) 18 sq cm
  27. 27.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 22 cm (c) 44 cm (d) 40 cm
  28. 28.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 57 cm (b) 44 cm (c) 22 cm (d) 41 cm
  29. 29.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 30 sq cm (d) 256 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) 14 sq cm (d) 49 sq cm
  31. 31.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 16 cm (c) 32 cm (d) 30 cm
  32. 32.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 136 cm (c) 10 cm (d) 9 cm
  33. 33.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 51 cm
  34. 34.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 187 cm (b) 45 cm (c) 28 cm (d) 56 cm
  35. 35.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 16 cm (c) 12 cm (d) 14 cm
  36. 36.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 20 cm
  37. 37.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 40 cm (c) 38 cm (d) 20 cm
  38. 38.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 20 cm (b) 10 cm (c) 144 cm (d) 11 cm
  39. 39.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 56 cm (c) 18 cm (d) 36 cm
  40. 40.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 64 cm (b) 32 cm (c) 240 cm (d) 52 cm

Answer key

  1. 66 sq cm
  2. 11 cm
  3. 20 cm
  4. 36 sq cm
  5. 180 sq cm
  6. 50 cm
  7. 3 cm
  8. 24 sq cm
  9. 32 cm
  10. 196 sq cm
  11. 35 sq cm
  12. 165 sq cm
  13. 144 sq cm
  14. 25 sq cm
  15. 5 cm
  16. 10 cm
  17. 2 cm
  18. 30 cm
  19. 3 cm
  20. 34 cm
  21. 8 cm
  22. 3 cm
  23. 56 sq cm
  24. 10 cm
  25. 130 sq cm
  26. 18 sq cm
  27. 44 cm
  28. 44 cm
  29. 225 sq cm
  30. 49 sq cm
  31. 32 cm
  32. 9 cm
  33. 4 cm
  34. 56 cm
  35. 16 cm
  36. 2 cm
  37. 40 cm
  38. 10 cm
  39. 36 cm
  40. 64 cm

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