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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 99 · 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 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
  2. 2.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 98 cm (b) 16 cm (c) 9 cm (d) 8 cm
  3. 3.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 126 cm (c) 16 cm (d) 8 cm
  4. 4.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 30 sq cm (d) 256 sq cm
  5. 5.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 144 cm (b) 20 cm (c) 11 cm (d) 10 cm
  6. 6.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 22 sq cm (d) 121 sq cm
  7. 7.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 60 sq cm (c) 70 sq cm (d) 32 sq cm
  8. 8.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 25 sq cm (b) 154 sq cm (c) 50 sq cm (d) 168 sq cm
  9. 9.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 57 cm (c) 4 cm (d) 5 cm
  10. 10.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
  11. 11.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 91 cm (b) 40 cm (c) 20 cm (d) 33 cm
  12. 12.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 11 cm
  13. 13.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 36 sq cm (d) 100 sq cm
  14. 14.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 52 sq cm (d) 26 sq cm
  15. 15.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 171 sq cm (b) 27 sq cm (c) 54 sq cm (d) 152 sq cm
  16. 16.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 18 cm (c) 9 cm (d) 10 cm
  17. 17.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 36 sq cm (d) 24 sq cm
  18. 18.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 96 cm (b) 20 cm (c) 40 cm (d) 32 cm
  19. 19.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 44 cm (b) 36 cm (c) 112 cm (d) 22 cm
  20. 20.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
  21. 21.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 153 sq cm (b) 136 sq cm (c) 25 sq cm (d) 50 sq cm
  22. 22.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 30 sq cm (d) 10 sq cm
  23. 23.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 90 sq cm (b) 80 sq cm (c) 18 sq cm (d) 36 sq cm
  24. 24.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 160 sq cm (b) 54 sq cm (c) 140 sq cm (d) 27 sq cm
  25. 25.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 95 cm (b) 12 cm (c) 6 cm (d) 7 cm
  26. 26.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 32 sq cm (d) 24 sq cm
  27. 27.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 102 cm (d) 40 cm
  28. 28.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 39 cm
  29. 29.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 120 cm
  30. 30.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 90 sq cm (b) 19 sq cm (c) 38 sq cm (d) 100 sq cm
  31. 31.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 49 sq cm (d) 28 sq cm
  32. 32.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 39 cm (c) 46 cm (d) 112 cm
  33. 33.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 12 cm (b) 6 cm (c) 4 cm (d) 3 cm
  34. 34.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 28 sq cm (d) 35 sq cm
  35. 35.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 60 cm
  36. 36.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 60 sq cm (b) 40 sq cm (c) 44 sq cm (d) 22 sq cm
  37. 37.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 15 cm
  38. 38.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 99 cm
  39. 39.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 96 sq cm (d) 84 sq cm
  40. 40.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 14 cm (b) 40 cm (c) 24 cm (d) 28 cm

Answer key

  1. 52 sq cm
  2. 8 cm
  3. 8 cm
  4. 225 sq cm
  5. 10 cm
  6. 121 sq cm
  7. 60 sq cm
  8. 154 sq cm
  9. 4 cm
  10. 25 sq cm
  11. 40 cm
  12. 2 cm
  13. 81 sq cm
  14. 169 sq cm
  15. 152 sq cm
  16. 9 cm
  17. 36 sq cm
  18. 40 cm
  19. 44 cm
  20. 196 sq cm
  21. 136 sq cm
  22. 24 sq cm
  23. 80 sq cm
  24. 140 sq cm
  25. 6 cm
  26. 24 sq cm
  27. 46 cm
  28. 4 cm
  29. 11 cm
  30. 90 sq cm
  31. 49 sq cm
  32. 46 cm
  33. 3 cm
  34. 28 sq cm
  35. 7 cm
  36. 40 sq cm
  37. 2 cm
  38. 10 cm
  39. 84 sq cm
  40. 28 cm

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