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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 732 · 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 has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 14 cm (c) 96 cm (d) 7 cm
  2. 2.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 30 sq cm (d) 24 sq cm
  3. 3.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 28 sq cm (d) 49 sq cm
  4. 4.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 52 sq cm (b) 65 sq cm (c) 34 sq cm (d) 17 sq cm
  5. 5.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 220 cm (b) 12 cm (c) 24 cm (d) 13 cm
  6. 6.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 25 cm (b) 39 cm (c) 154 cm (d) 50 cm
  7. 7.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 54 cm (b) 27 cm (c) 152 cm (d) 46 cm
  8. 8.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 126 sq cm (b) 22 sq cm (c) 112 sq cm (d) 44 sq cm
  9. 9.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 75 cm (c) 6 cm (d) 7 cm
  10. 10.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 25 sq cm (b) 160 sq cm (c) 50 sq cm (d) 144 sq cm
  11. 11.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
  12. 12.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 171 cm (b) 47 cm (c) 56 cm (d) 28 cm
  13. 13.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 152 sq cm (b) 52 sq cm (c) 133 sq cm (d) 26 sq cm
  14. 14.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
  15. 15.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 56 sq cm (d) 42 sq cm
  16. 16.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 1 cm
  17. 17.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 169 sq cm (d) 144 sq cm
  18. 18.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 8 cm (c) 12 cm (d) 16 cm
  19. 19.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 119 sq cm (d) 102 sq cm
  20. 20.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 120 sq cm (b) 44 sq cm (c) 22 sq cm (d) 105 sq cm
  21. 21.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 24 cm (c) 19 cm (d) 11 cm
  22. 22.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
  23. 23.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
  24. 24.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 7 cm (c) 72 cm (d) 14 cm
  25. 25.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 56 cm (c) 32 cm (d) 18 cm
  26. 26.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 48 cm (b) 41 cm (c) 24 cm (d) 119 cm
  27. 27.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 10 cm (b) 4 cm (c) 6 cm (d) 3 cm
  28. 28.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 153 cm (b) 11 cm (c) 10 cm (d) 20 cm
  29. 29.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 35 sq cm (b) 42 sq cm (c) 12 sq cm (d) 24 sq cm
  30. 30.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 26 cm (b) 168 cm (c) 40 cm (d) 52 cm
  31. 31.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 22 sq cm (d) 44 sq cm
  32. 32.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 108 sq cm (b) 90 sq cm (c) 46 sq cm (d) 23 sq cm
  33. 33.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 30 cm (c) 11 cm (d) 22 cm
  34. 34.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 25 cm (c) 28 cm (d) 14 cm
  35. 35.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 28 cm (d) 48 cm
  36. 36.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 13 cm (c) 3 cm (d) 2 cm
  37. 37.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
  38. 38.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 169 sq cm (b) 50 sq cm (c) 25 sq cm (d) 156 sq cm
  39. 39.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
  40. 40.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 22 cm (d) 20 cm

Answer key

  1. 7 cm
  2. 24 sq cm
  3. 49 sq cm
  4. 52 sq cm
  5. 12 cm
  6. 50 cm
  7. 54 cm
  8. 112 sq cm
  9. 6 cm
  10. 144 sq cm
  11. 25 sq cm
  12. 56 cm
  13. 133 sq cm
  14. 81 sq cm
  15. 42 sq cm
  16. 2 cm
  17. 144 sq cm
  18. 16 cm
  19. 102 sq cm
  20. 105 sq cm
  21. 22 cm
  22. 196 sq cm
  23. 100 sq cm
  24. 7 cm
  25. 36 cm
  26. 48 cm
  27. 3 cm
  28. 10 cm
  29. 35 sq cm
  30. 52 cm
  31. 121 sq cm
  32. 90 sq cm
  33. 22 cm
  34. 28 cm
  35. 32 cm
  36. 2 cm
  37. 225 sq cm
  38. 156 sq cm
  39. 169 sq cm
  40. 22 cm

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