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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 147 · 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 4 cm wide. What is its perimeter? (a) 44 cm (b) 26 cm (c) 15 cm (d) 30 cm
  2. 2.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 56 sq cm (c) 64 sq cm (d) 30 sq cm
  3. 3.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 19 sq cm (b) 96 sq cm (c) 38 sq cm (d) 84 sq cm
  4. 4.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 28 sq cm (d) 196 sq cm
  5. 5.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 96 sq cm (d) 108 sq cm
  6. 6.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 45 cm
  7. 7.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 35 sq cm (c) 11 sq cm (d) 28 sq cm
  8. 8.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 2 cm (c) 13 cm (d) 3 cm
  9. 9.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 18 sq cm (d) 12 sq cm
  10. 10.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 24 cm (c) 20 cm (d) 16 cm
  11. 11.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 14 cm (c) 3 cm (d) 4 cm
  12. 12.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
  13. 13.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 12 cm (c) 4 cm (d) 6 cm
  14. 14.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
  15. 15.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 28 sq cm (d) 14 sq cm
  16. 16.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 10 cm (c) 28 cm (d) 6 cm
  17. 17.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 14 cm (b) 33 cm (c) 28 cm (d) 25 cm
  18. 18.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 190 sq cm (b) 58 sq cm (c) 209 sq cm (d) 29 sq cm
  19. 19.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
  20. 20.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 32 sq cm (d) 16 sq cm
  21. 21.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 42 cm (d) 20 cm
  22. 22.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 45 sq cm (c) 14 sq cm (d) 54 sq cm
  23. 23.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 104 cm
  24. 24.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 171 sq cm (b) 28 sq cm (c) 190 sq cm (d) 56 sq cm
  25. 25.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 22 sq cm (d) 144 sq cm
  26. 26.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 32 cm (c) 3 cm (d) 6 cm
  27. 27.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 14 sq cm (c) 56 sq cm (d) 28 sq cm
  28. 28.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
  29. 29.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 65 cm
  30. 30.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 200 sq cm (b) 29 sq cm (c) 180 sq cm (d) 58 sq cm
  31. 31.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 24 cm (b) 41 cm (c) 48 cm (d) 119 cm
  32. 32.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 180 cm (c) 12 cm (d) 22 cm
  33. 33.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 33 cm (b) 40 cm (c) 91 cm (d) 20 cm
  34. 34.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 55 sq cm (b) 44 sq cm (c) 15 sq cm (d) 30 sq cm
  35. 35.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 120 cm (b) 23 cm (c) 46 cm (d) 38 cm
  36. 36.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 40 cm (c) 21 cm (d) 38 cm
  37. 37.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 12 cm (c) 200 cm (d) 22 cm
  38. 38.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 144 sq cm (d) 132 sq cm
  39. 39.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 40 sq cm (c) 12 sq cm (d) 32 sq cm
  40. 40.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 52 sq cm (b) 34 sq cm (c) 65 sq cm (d) 17 sq cm

Answer key

  1. 30 cm
  2. 56 sq cm
  3. 84 sq cm
  4. 196 sq cm
  5. 96 sq cm
  6. 4 cm
  7. 28 sq cm
  8. 2 cm
  9. 12 sq cm
  10. 20 cm
  11. 3 cm
  12. 100 sq cm
  13. 3 cm
  14. 70 sq cm
  15. 49 sq cm
  16. 5 cm
  17. 28 cm
  18. 190 sq cm
  19. 130 sq cm
  20. 64 sq cm
  21. 26 cm
  22. 45 sq cm
  23. 9 cm
  24. 171 sq cm
  25. 121 sq cm
  26. 3 cm
  27. 48 sq cm
  28. 225 sq cm
  29. 6 cm
  30. 180 sq cm
  31. 48 cm
  32. 11 cm
  33. 40 cm
  34. 44 sq cm
  35. 46 cm
  36. 42 cm
  37. 11 cm
  38. 132 sq cm
  39. 32 sq cm
  40. 52 sq cm

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