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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 342 · 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 16 cm long and 12 cm wide. What is its area? (a) 28 sq cm (b) 208 sq cm (c) 56 sq cm (d) 192 sq cm
  2. 2.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 10 cm (c) 136 cm (d) 18 cm
  3. 3.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
  4. 4.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 143 cm
  5. 5.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 66 cm (c) 14 cm (d) 7 cm
  6. 6.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
  7. 7.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 43 cm (b) 24 cm (c) 48 cm (d) 95 cm
  8. 8.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 40 cm (c) 28 cm (d) 14 cm
  9. 9.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 169 sq cm (d) 144 sq cm
  10. 10.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 36 sq cm (d) 24 sq cm
  11. 11.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 50 sq cm (d) 40 sq cm
  12. 12.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 50 cm
  13. 13.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 100 sq cm (d) 18 sq cm
  14. 14.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 24 cm (b) 39 cm (c) 48 cm (d) 135 cm
  15. 15.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 108 cm (c) 11 cm (d) 20 cm
  16. 16.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 38 sq cm (b) 48 sq cm (c) 19 sq cm (d) 64 sq cm
  17. 17.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 23 cm (c) 30 cm (d) 15 cm
  18. 18.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 12 sq cm (c) 32 sq cm (d) 24 sq cm
  19. 19.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 9 cm
  20. 20.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 65 cm (c) 12 cm (d) 7 cm
  21. 21.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 40 cm (d) 21 cm
  22. 22.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 78 sq cm (b) 65 sq cm (c) 36 sq cm (d) 18 sq cm
  23. 23.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 40 sq cm (d) 100 sq cm
  24. 24.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 45 cm (c) 6 cm (d) 12 cm
  25. 25.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 52 cm (b) 17 cm (c) 34 cm (d) 30 cm
  26. 26.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 144 sq cm (d) 44 sq cm
  27. 27.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 2 cm (c) 3 cm (d) 4 cm
  28. 28.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 26 sq cm (b) 160 sq cm (c) 176 sq cm (d) 52 sq cm
  29. 29.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 20 sq cm (c) 10 sq cm (d) 24 sq cm
  30. 30.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 21 sq cm (c) 18 sq cm (d) 9 sq cm
  31. 31.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 100 sq cm (c) 48 sq cm (d) 80 sq cm
  32. 32.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
  33. 33.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 32 sq cm (d) 16 sq cm
  34. 34.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 12 cm (c) 70 cm (d) 6 cm
  35. 35.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 56 sq cm (d) 48 sq cm
  36. 36.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 170 cm (b) 27 cm (c) 54 cm (d) 44 cm
  37. 37.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 72 sq cm (b) 22 sq cm (c) 90 sq cm (d) 44 sq cm
  38. 38.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 85 cm (b) 7 cm (c) 12 cm (d) 6 cm
  39. 39.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 18 cm (c) 15 cm (d) 9 cm
  40. 40.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 13 cm (c) 154 cm (d) 24 cm

Answer key

  1. 192 sq cm
  2. 9 cm
  3. 196 sq cm
  4. 12 cm
  5. 7 cm
  6. 49 sq cm
  7. 48 cm
  8. 28 cm
  9. 144 sq cm
  10. 24 sq cm
  11. 40 sq cm
  12. 6 cm
  13. 81 sq cm
  14. 48 cm
  15. 10 cm
  16. 48 sq cm
  17. 30 cm
  18. 32 sq cm
  19. 2 cm
  20. 6 cm
  21. 26 cm
  22. 65 sq cm
  23. 100 sq cm
  24. 6 cm
  25. 34 cm
  26. 121 sq cm
  27. 2 cm
  28. 160 sq cm
  29. 24 sq cm
  30. 14 sq cm
  31. 80 sq cm
  32. 36 sq cm
  33. 64 sq cm
  34. 6 cm
  35. 48 sq cm
  36. 54 cm
  37. 72 sq cm
  38. 6 cm
  39. 18 cm
  40. 12 cm

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