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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 809 · 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 8 cm wide. What is its perimeter? (a) 40 cm (b) 128 cm (c) 24 cm (d) 48 cm
  2. 2.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 21 sq cm (b) 98 sq cm (c) 42 sq cm (d) 112 sq cm
  3. 3.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 50 sq cm (b) 144 sq cm (c) 126 sq cm (d) 25 sq cm
  4. 4.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 160 sq cm (b) 52 sq cm (c) 26 sq cm (d) 176 sq cm
  5. 5.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 54 cm (b) 4 cm (c) 5 cm (d) 8 cm
  6. 6.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
  7. 7.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 50 cm (b) 12 cm (c) 7 cm (d) 6 cm
  8. 8.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 165 cm (c) 24 cm (d) 12 cm
  9. 9.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 132 sq cm (b) 46 sq cm (c) 23 sq cm (d) 144 sq cm
  10. 10.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 225 sq cm (d) 56 sq cm
  11. 11.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 36 sq cm (d) 48 sq cm
  12. 12.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 196 sq cm (d) 52 sq cm
  13. 13.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 60 sq cm (c) 44 sq cm (d) 22 sq cm
  14. 14.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 24 cm (b) 37 cm (c) 48 cm (d) 143 cm
  15. 15.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 3 cm (b) 32 cm (c) 6 cm (d) 4 cm
  16. 16.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 96 sq cm (d) 108 sq cm
  17. 17.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 38 sq cm (c) 57 sq cm (d) 21 sq cm
  18. 18.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 16 cm (b) 119 cm (c) 9 cm (d) 8 cm
  19. 19.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 165 cm (b) 26 cm (c) 41 cm (d) 52 cm
  20. 20.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 42 sq cm (c) 12 sq cm (d) 35 sq cm
  21. 21.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
  22. 22.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 26 cm (b) 44 cm (c) 30 cm (d) 15 cm
  23. 23.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 54 cm (c) 24 cm (d) 15 cm
  24. 24.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 34 cm (b) 31 cm (c) 42 cm (d) 17 cm
  25. 25.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 63 cm
  26. 26.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
  27. 27.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 120 sq cm (b) 105 sq cm (c) 22 sq cm (d) 44 sq cm
  28. 28.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 84 cm
  29. 29.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 180 sq cm (b) 198 sq cm (c) 28 sq cm (d) 56 sq cm
  30. 30.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 36 sq cm (c) 18 sq cm (d) 90 sq cm
  31. 31.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 24 cm (b) 3 cm (c) 6 cm (d) 4 cm
  32. 32.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
  33. 33.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 21 sq cm (d) 28 sq cm
  34. 34.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 24 cm
  35. 35.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 42 cm (c) 5 cm (d) 4 cm
  36. 36.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 27 sq cm (b) 162 sq cm (c) 54 sq cm (d) 180 sq cm
  37. 37.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 16 cm (b) 9 cm (c) 98 cm (d) 8 cm
  38. 38.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 152 cm (b) 46 cm (c) 54 cm (d) 27 cm
  39. 39.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 90 sq cm (b) 22 sq cm (c) 72 sq cm (d) 44 sq cm
  40. 40.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 45 sq cm (d) 60 sq cm

Answer key

  1. 48 cm
  2. 98 sq cm
  3. 126 sq cm
  4. 160 sq cm
  5. 4 cm
  6. 81 sq cm
  7. 6 cm
  8. 12 cm
  9. 132 sq cm
  10. 196 sq cm
  11. 36 sq cm
  12. 169 sq cm
  13. 40 sq cm
  14. 48 cm
  15. 3 cm
  16. 96 sq cm
  17. 38 sq cm
  18. 8 cm
  19. 52 cm
  20. 35 sq cm
  21. 225 sq cm
  22. 30 cm
  23. 30 cm
  24. 34 cm
  25. 8 cm
  26. 49 sq cm
  27. 105 sq cm
  28. 8 cm
  29. 180 sq cm
  30. 80 sq cm
  31. 3 cm
  32. 144 sq cm
  33. 21 sq cm
  34. 5 cm
  35. 4 cm
  36. 162 sq cm
  37. 8 cm
  38. 54 cm
  39. 72 sq cm
  40. 45 sq cm

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