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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 973 · 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 16 cm long and 10 cm wide. What is its perimeter? (a) 26 cm (b) 42 cm (c) 52 cm (d) 160 cm
  2. 2.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 20 cm (c) 22 cm (d) 24 cm
  3. 3.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 128 cm
  4. 4.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 45 sq cm (b) 14 sq cm (c) 54 sq cm (d) 28 sq cm
  5. 5.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 171 sq cm (b) 54 sq cm (c) 152 sq cm (d) 27 sq cm
  6. 6.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 18 cm (c) 22 cm (d) 11 cm
  7. 7.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
  8. 8.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 24 cm (b) 3 cm (c) 6 cm (d) 4 cm
  9. 9.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 121 sq cm (d) 22 sq cm
  10. 10.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 48 sq cm (d) 14 sq cm
  11. 11.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 19 cm (b) 88 cm (c) 38 cm (d) 30 cm
  12. 12.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 3 cm (b) 32 cm (c) 4 cm (d) 6 cm
  13. 13.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 35 sq cm (c) 42 sq cm (d) 24 sq cm
  14. 14.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 24 cm (c) 28 cm (d) 14 cm
  15. 15.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 15 cm (c) 30 cm (d) 24 cm
  16. 16.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 48 cm (d) 14 cm
  17. 17.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 75 cm (c) 7 cm (d) 12 cm
  18. 18.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 7 cm (b) 14 cm (c) 78 cm (d) 8 cm
  19. 19.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 16 cm (c) 77 cm (d) 8 cm
  20. 20.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 72 cm (c) 18 cm (d) 30 cm
  21. 21.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm
  22. 22.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 13 sq cm (c) 26 sq cm (d) 36 sq cm
  23. 23.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 24 cm (d) 16 cm
  24. 24.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 51 cm (b) 40 cm (c) 37 cm (d) 20 cm
  25. 25.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 40 sq cm (d) 20 sq cm
  26. 26.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 34 cm (c) 18 cm (d) 36 cm
  27. 27.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 117 sq cm (b) 130 sq cm (c) 22 sq cm (d) 44 sq cm
  28. 28.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 30 sq cm (d) 20 sq cm
  29. 29.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 180 cm (c) 12 cm (d) 11 cm
  30. 30.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 21 cm (c) 17 cm (d) 10 cm
  31. 31.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
  32. 32.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 162 cm
  33. 33.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 16 sq cm (c) 28 sq cm (d) 32 sq cm
  34. 34.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 20 cm (c) 135 cm (d) 11 cm
  35. 35.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 20 cm (c) 3 cm (d) 2 cm
  36. 36.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 2 cm (b) 3 cm (c) 14 cm (d) 4 cm
  37. 37.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 29 sq cm (b) 180 sq cm (c) 200 sq cm (d) 58 sq cm
  38. 38.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 28 sq cm (b) 190 sq cm (c) 56 sq cm (d) 171 sq cm
  39. 39.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
  40. 40.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 24 cm (b) 5 cm (c) 8 cm (d) 4 cm

Answer key

  1. 52 cm
  2. 24 cm
  3. 9 cm
  4. 45 sq cm
  5. 152 sq cm
  6. 22 cm
  7. 36 sq cm
  8. 3 cm
  9. 121 sq cm
  10. 48 sq cm
  11. 38 cm
  12. 3 cm
  13. 35 sq cm
  14. 28 cm
  15. 30 cm
  16. 28 cm
  17. 6 cm
  18. 7 cm
  19. 8 cm
  20. 36 cm
  21. 64 sq cm
  22. 36 sq cm
  23. 20 cm
  24. 40 cm
  25. 100 sq cm
  26. 36 cm
  27. 117 sq cm
  28. 24 sq cm
  29. 11 cm
  30. 20 cm
  31. 144 sq cm
  32. 10 cm
  33. 28 sq cm
  34. 10 cm
  35. 2 cm
  36. 2 cm
  37. 180 sq cm
  38. 171 sq cm
  39. 25 sq cm
  40. 4 cm

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