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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 714 · 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 12 cm wide. What is its area? (a) 169 sq cm (b) 25 sq cm (c) 156 sq cm (d) 50 sq cm
  2. 2.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 81 sq cm (d) 18 sq cm
  3. 3.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 54 cm (b) 27 cm (c) 162 cm (d) 45 cm
  4. 4.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 23 sq cm (b) 119 sq cm (c) 102 sq cm (d) 46 sq cm
  5. 5.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 14 cm (c) 12 cm (d) 16 cm
  6. 6.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 18 cm (c) 20 cm (d) 16 cm
  7. 7.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 72 sq cm (b) 17 sq cm (c) 60 sq cm (d) 34 sq cm
  8. 8.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 28 cm (c) 45 cm (d) 14 cm
  9. 9.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 28 sq cm (c) 20 sq cm (d) 10 sq cm
  10. 10.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 140 cm (b) 22 cm (c) 12 cm (d) 11 cm
  11. 11.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 32 sq cm (b) 55 sq cm (c) 16 sq cm (d) 66 sq cm
  12. 12.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 44 cm (c) 5 cm (d) 10 cm
  13. 13.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 9 cm (c) 112 cm (d) 16 cm
  14. 14.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 45 cm (c) 50 cm (d) 100 cm
  15. 15.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 84 cm
  16. 16.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 204 sq cm (b) 28 sq cm (c) 56 sq cm (d) 187 sq cm
  17. 17.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 77 cm (b) 29 cm (c) 18 cm (d) 36 cm
  18. 18.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 30 sq cm (c) 15 sq cm (d) 56 sq cm
  19. 19.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 9 cm (c) 14 cm (d) 18 cm
  20. 20.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 10 cm (c) 112 cm (d) 18 cm
  21. 21.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 57 sq cm (c) 22 sq cm (d) 76 sq cm
  22. 22.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 42 sq cm (d) 35 sq cm
  23. 23.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
  24. 24.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 70 cm
  25. 25.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
  26. 26.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 25 cm (b) 40 cm (c) 50 cm (d) 150 cm
  27. 27.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 24 cm (b) 165 cm (c) 13 cm (d) 12 cm
  28. 28.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 24 cm (c) 10 cm (d) 16 cm
  29. 29.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 48 cm (c) 5 cm (d) 10 cm
  30. 30.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 150 cm
  31. 31.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 153 cm
  32. 32.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 95 sq cm (b) 76 sq cm (c) 46 sq cm (d) 23 sq cm
  33. 33.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 27 cm (c) 12 cm (d) 24 cm
  34. 34.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 44 sq cm (b) 60 sq cm (c) 22 sq cm (d) 40 sq cm
  35. 35.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 45 sq cm (d) 36 sq cm
  36. 36.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 26 sq cm (c) 13 sq cm (d) 48 sq cm
  37. 37.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 144 sq cm (b) 160 sq cm (c) 50 sq cm (d) 25 sq cm
  38. 38.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
  39. 39.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 30 cm
  40. 40.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 22 cm (c) 11 cm (d) 24 cm

Answer key

  1. 156 sq cm
  2. 81 sq cm
  3. 54 cm
  4. 102 sq cm
  5. 16 cm
  6. 20 cm
  7. 60 sq cm
  8. 28 cm
  9. 21 sq cm
  10. 11 cm
  11. 55 sq cm
  12. 5 cm
  13. 8 cm
  14. 50 cm
  15. 7 cm
  16. 187 sq cm
  17. 36 cm
  18. 56 sq cm
  19. 18 cm
  20. 9 cm
  21. 57 sq cm
  22. 35 sq cm
  23. 152 sq cm
  24. 6 cm
  25. 225 sq cm
  26. 50 cm
  27. 12 cm
  28. 20 cm
  29. 5 cm
  30. 11 cm
  31. 10 cm
  32. 76 sq cm
  33. 24 cm
  34. 40 sq cm
  35. 36 sq cm
  36. 40 sq cm
  37. 144 sq cm
  38. 144 sq cm
  39. 4 cm
  40. 22 cm

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