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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 148 · 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 10 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 14 cm (c) 28 cm (d) 40 cm
  2. 2.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 18 cm (d) 20 cm
  3. 3.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 16 sq cm (c) 20 sq cm (d) 10 sq cm
  4. 4.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 62 sq cm (b) 31 sq cm (c) 247 sq cm (d) 228 sq cm
  5. 5.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 32 cm (c) 12 cm (d) 20 cm
  6. 6.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 26 sq cm (c) 13 sq cm (d) 49 sq 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) 4 cm (c) 2 cm (d) 3 cm
  8. 8.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 100 sq cm (d) 121 sq cm
  9. 9.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 121 sq cm (d) 144 sq cm
  10. 10.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
  11. 11.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 23 sq cm (b) 126 sq cm (c) 46 sq cm (d) 140 sq cm
  12. 12.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 51 sq cm (d) 34 sq cm
  13. 13.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 3 cm (b) 2 cm (c) 9 cm (d) 4 cm
  14. 14.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 18 cm (c) 16 cm (d) 14 cm
  15. 15.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 160 cm (b) 12 cm (c) 11 cm (d) 22 cm
  16. 16.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
  17. 17.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 10 cm (c) 20 cm (d) 11 cm
  18. 18.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 60 sq cm (d) 70 sq cm
  19. 19.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 17 sq cm (b) 66 sq cm (c) 77 sq cm (d) 34 sq cm
  20. 20.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 3 cm (c) 5 cm (d) 2 cm
  21. 21.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 32 cm (b) 10 cm (c) 6 cm (d) 5 cm
  22. 22.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 112 cm
  23. 23.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 20 cm (c) 180 cm (d) 11 cm
  24. 24.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 144 sq cm (d) 169 sq cm
  25. 25.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 72 sq cm (b) 21 sq cm (c) 42 sq cm (d) 54 sq cm
  26. 26.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 49 sq cm
  27. 27.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 6 cm (c) 48 cm (d) 5 cm
  28. 28.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 15 sq cm (c) 30 sq cm (d) 48 sq cm
  29. 29.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 18 cm (b) 29 cm (c) 77 cm (d) 36 cm
  30. 30.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 14 sq cm (d) 64 sq cm
  31. 31.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 10 cm (c) 36 cm (d) 5 cm
  32. 32.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 24 cm (b) 119 cm (c) 41 cm (d) 48 cm
  33. 33.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 165 cm
  34. 34.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 81 sq cm (c) 72 sq cm (d) 34 sq cm
  35. 35.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 100 sq cm (d) 36 sq cm
  36. 36.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 44 cm (c) 40 cm (d) 22 cm
  37. 37.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 84 cm
  38. 38.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 28 sq cm (c) 10 sq cm (d) 20 sq cm
  39. 39.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 58 sq cm (b) 29 sq cm (c) 200 sq cm (d) 180 sq cm
  40. 40.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 48 sq cm (d) 32 sq cm

Answer key

  1. 28 cm
  2. 20 cm
  3. 16 sq cm
  4. 228 sq cm
  5. 24 cm
  6. 42 sq cm
  7. 2 cm
  8. 100 sq cm
  9. 121 sq cm
  10. 25 sq cm
  11. 126 sq cm
  12. 34 sq cm
  13. 2 cm
  14. 18 cm
  15. 11 cm
  16. 8 cm
  17. 10 cm
  18. 60 sq cm
  19. 66 sq cm
  20. 2 cm
  21. 5 cm
  22. 9 cm
  23. 10 cm
  24. 144 sq cm
  25. 54 sq cm
  26. 36 sq cm
  27. 5 cm
  28. 36 sq cm
  29. 36 cm
  30. 49 sq cm
  31. 5 cm
  32. 48 cm
  33. 12 cm
  34. 72 sq cm
  35. 81 sq cm
  36. 44 cm
  37. 7 cm
  38. 21 sq cm
  39. 180 sq cm
  40. 32 sq cm

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