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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 220 · 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 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
  2. 2.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 14 sq cm (d) 28 sq cm
  3. 3.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
  4. 4.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 108 cm
  5. 5.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 62 cm (b) 51 cm (c) 31 cm (d) 220 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 180 sq cm and a length of 20 cm. What is its width? (a) 18 cm (b) 10 cm (c) 160 cm (d) 9 cm
  8. 8.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 95 cm (b) 7 cm (c) 6 cm (d) 12 cm
  9. 9.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 114 cm
  10. 10.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 30 sq cm (d) 11 sq cm
  11. 11.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 121 sq cm (c) 42 sq cm (d) 110 sq cm
  12. 12.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 25 sq cm (b) 133 sq cm (c) 50 sq cm (d) 114 sq cm
  13. 13.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
  14. 14.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 80 sq cm (d) 60 sq cm
  15. 15.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 72 sq cm (c) 54 sq cm (d) 21 sq cm
  16. 16.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 70 cm (b) 17 cm (c) 34 cm (d) 27 cm
  17. 17.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 35 sq cm (c) 22 sq cm (d) 28 sq cm
  18. 18.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 42 cm (b) 54 cm (c) 27 cm (d) 180 cm
  19. 19.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 26 cm (c) 21 cm (d) 13 cm
  20. 20.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 22 cm (c) 28 cm (d) 48 cm
  21. 21.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
  22. 22.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 60 cm (b) 216 cm (c) 30 cm (d) 48 cm
  23. 23.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 32 sq cm (c) 16 sq cm (d) 28 sq cm
  24. 24.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
  25. 25.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 64 sq cm (b) 80 sq cm (c) 40 sq cm (d) 20 sq cm
  26. 26.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 112 cm (d) 39 cm
  27. 27.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 77 cm (b) 29 cm (c) 36 cm (d) 18 cm
  28. 28.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 56 cm (b) 48 cm (c) 28 cm (d) 160 cm
  29. 29.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 18 cm (c) 88 cm (d) 10 cm
  30. 30.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 200 sq cm (d) 220 sq cm
  31. 31.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 46 sq cm (b) 112 sq cm (c) 23 sq cm (d) 128 sq cm
  32. 32.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 8 cm (c) 60 cm (d) 5 cm
  33. 33.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 112 sq cm (d) 96 sq cm
  34. 34.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 10 cm (c) 11 cm (d) 20 cm
  35. 35.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 18 cm (d) 16 cm
  36. 36.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 176 sq cm (b) 52 sq cm (c) 26 sq cm (d) 160 sq cm
  37. 37.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 140 sq cm (b) 48 sq cm (c) 154 sq cm (d) 24 sq cm
  38. 38.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 40 cm (c) 36 cm (d) 20 cm
  39. 39.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
  40. 40.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 91 sq cm (d) 104 sq cm

Answer key

  1. 121 sq cm
  2. 24 sq cm
  3. 49 sq cm
  4. 7 cm
  5. 62 cm
  6. 42 sq cm
  7. 9 cm
  8. 6 cm
  9. 7 cm
  10. 30 sq cm
  11. 110 sq cm
  12. 114 sq cm
  13. 144 sq cm
  14. 60 sq cm
  15. 54 sq cm
  16. 34 cm
  17. 28 sq cm
  18. 54 cm
  19. 26 cm
  20. 28 cm
  21. 169 sq cm
  22. 60 cm
  23. 28 sq cm
  24. 36 sq cm
  25. 64 sq cm
  26. 46 cm
  27. 36 cm
  28. 56 cm
  29. 9 cm
  30. 200 sq cm
  31. 112 sq cm
  32. 4 cm
  33. 96 sq cm
  34. 10 cm
  35. 20 cm
  36. 160 sq cm
  37. 140 sq cm
  38. 40 cm
  39. 12 sq cm
  40. 91 sq cm

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