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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 900 · 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 15 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 34 cm (c) 19 cm (d) 60 cm
  2. 2.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 14 cm (c) 102 cm (d) 7 cm
  3. 3.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 64 sq cm (d) 14 sq cm
  4. 4.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 2 cm (c) 6 cm (d) 4 cm
  5. 5.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
  6. 6.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 104 sq cm (b) 40 sq cm (c) 91 sq cm (d) 20 sq cm
  7. 7.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 126 cm (b) 25 cm (c) 50 cm (d) 43 cm
  8. 8.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 33 sq cm (c) 26 sq cm (d) 13 sq cm
  9. 9.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 32 cm (b) 63 cm (c) 25 cm (d) 16 cm
  10. 10.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 20 sq cm (d) 10 sq cm
  11. 11.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 33 cm (c) 18 cm (d) 36 cm
  12. 12.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 8 cm
  13. 13.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 50 sq cm (b) 150 sq cm (c) 25 sq cm (d) 165 sq cm
  14. 14.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 100 cm (b) 50 cm (c) 25 cm (d) 45 cm
  15. 15.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 196 sq cm (d) 28 sq cm
  16. 16.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 40 sq cm (d) 50 sq cm
  17. 17.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 152 sq cm (b) 27 sq cm (c) 54 sq cm (d) 171 sq cm
  18. 18.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
  19. 19.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 36 sq cm (d) 45 sq cm
  20. 20.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 90 cm (c) 7 cm (d) 6 cm
  21. 21.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 56 cm (d) 32 cm
  22. 22.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 26 sq cm (d) 52 sq cm
  23. 23.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 153 sq cm (b) 26 sq cm (c) 170 sq cm (d) 52 sq cm
  24. 24.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
  25. 25.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 102 sq cm (b) 23 sq cm (c) 46 sq cm (d) 119 sq cm
  26. 26.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 140 cm
  27. 27.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 40 cm (b) 168 cm (c) 52 cm (d) 26 cm
  28. 28.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 39 sq cm (c) 30 sq cm (d) 15 sq cm
  29. 29.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 10 cm (b) 6 cm (c) 4 cm (d) 3 cm
  30. 30.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 220 sq cm (d) 200 sq cm
  31. 31.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 30 sq cm (c) 11 sq cm (d) 22 sq cm
  32. 32.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 17 cm (c) 22 cm (d) 11 cm
  33. 33.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
  34. 34.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 42 sq cm (d) 28 sq cm
  35. 35.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 72 cm (b) 14 cm (c) 8 cm (d) 7 cm
  36. 36.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 16 cm (b) 8 cm (c) 77 cm (d) 9 cm
  37. 37.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 30 sq cm (c) 48 sq cm (d) 15 sq cm
  38. 38.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 14 sq cm (c) 21 sq cm (d) 9 sq cm
  39. 39.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 24 cm (b) 40 cm (c) 128 cm (d) 48 cm
  40. 40.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 64 sq cm (c) 56 sq cm (d) 15 sq cm

Answer key

  1. 38 cm
  2. 7 cm
  3. 49 sq cm
  4. 2 cm
  5. 64 sq cm
  6. 91 sq cm
  7. 50 cm
  8. 22 sq cm
  9. 32 cm
  10. 25 sq cm
  11. 36 cm
  12. 2 cm
  13. 150 sq cm
  14. 50 cm
  15. 196 sq cm
  16. 40 sq cm
  17. 152 sq cm
  18. 121 sq cm
  19. 36 sq cm
  20. 6 cm
  21. 36 cm
  22. 169 sq cm
  23. 153 sq cm
  24. 36 sq cm
  25. 102 sq cm
  26. 8 cm
  27. 52 cm
  28. 26 sq cm
  29. 3 cm
  30. 200 sq cm
  31. 30 sq cm
  32. 22 cm
  33. 144 sq cm
  34. 28 sq cm
  35. 7 cm
  36. 8 cm
  37. 36 sq cm
  38. 14 sq cm
  39. 48 cm
  40. 56 sq cm

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