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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 107 · 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 18 cm long and 5 cm wide. What is its perimeter? (a) 41 cm (b) 46 cm (c) 90 cm (d) 23 cm
  2. 2.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 32 sq cm (c) 48 sq cm (d) 36 sq cm
  3. 3.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 160 sq cm (b) 26 sq cm (c) 52 sq cm (d) 176 sq cm
  4. 4.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 100 cm
  5. 5.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 256 sq cm (d) 60 sq cm
  6. 6.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 24 cm (c) 20 cm (d) 10 cm
  7. 7.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 1 cm (b) 3 cm (c) 2 cm (d) 4 cm
  8. 8.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
  9. 9.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
  10. 10.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 24 cm (b) 13 cm (c) 209 cm (d) 12 cm
  11. 11.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 30 sq cm (c) 24 sq cm (d) 20 sq cm
  12. 12.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
  13. 13.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 56 sq cm (b) 36 sq cm (c) 70 sq cm (d) 18 sq cm
  14. 14.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 21 cm (b) 5 cm (c) 8 cm (d) 4 cm
  15. 15.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 150 sq cm (b) 50 sq cm (c) 165 sq cm (d) 25 sq cm
  16. 16.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 5 cm (c) 60 cm (d) 6 cm
  17. 17.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 12 cm (d) 35 cm
  18. 18.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 19 cm (c) 30 cm (d) 88 cm
  19. 19.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 180 cm (c) 49 cm (d) 58 cm
  20. 20.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 56 sq cm (c) 34 sq cm (d) 17 sq cm
  21. 21.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 14 sq cm (d) 64 sq cm
  22. 22.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 85 cm
  23. 23.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 9 cm (c) 16 cm (d) 8 cm
  24. 24.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 13 sq cm (c) 40 sq cm (d) 26 sq cm
  25. 25.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 40 sq cm (c) 32 sq cm (d) 12 sq cm
  26. 26.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 11 sq cm (c) 22 sq cm (d) 27 sq cm
  27. 27.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 128 cm (c) 18 cm (d) 10 cm
  28. 28.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 56 sq cm (c) 15 sq cm (d) 64 sq cm
  29. 29.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 60 cm (b) 49 cm (c) 30 cm (d) 209 cm
  30. 30.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 55 sq cm (c) 15 sq cm (d) 30 sq cm
  31. 31.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 24 cm (c) 15 cm (d) 30 cm
  32. 32.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
  33. 33.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 34 cm (c) 36 cm (d) 32 cm
  34. 34.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 16 cm (c) 84 cm (d) 8 cm
  35. 35.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 66 sq cm (d) 55 sq cm
  36. 36.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 12 cm (c) 24 cm (d) 32 cm
  37. 37.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
  38. 38.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 47 cm (b) 171 cm (c) 28 cm (d) 56 cm
  39. 39.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 70 cm (b) 16 cm (c) 8 cm (d) 9 cm
  40. 40.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 143 cm

Answer key

  1. 46 cm
  2. 32 sq cm
  3. 160 sq cm
  4. 6 cm
  5. 225 sq cm
  6. 20 cm
  7. 2 cm
  8. 110 sq cm
  9. 121 sq cm
  10. 12 cm
  11. 24 sq cm
  12. 196 sq cm
  13. 56 sq cm
  14. 4 cm
  15. 150 sq cm
  16. 5 cm
  17. 24 cm
  18. 38 cm
  19. 58 cm
  20. 42 sq cm
  21. 49 sq cm
  22. 6 cm
  23. 8 cm
  24. 30 sq cm
  25. 32 sq cm
  26. 18 sq cm
  27. 9 cm
  28. 56 sq cm
  29. 60 cm
  30. 44 sq cm
  31. 30 cm
  32. 144 sq cm
  33. 36 cm
  34. 8 cm
  35. 55 sq cm
  36. 24 cm
  37. 36 sq cm
  38. 56 cm
  39. 8 cm
  40. 12 cm

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