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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 272 · 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 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 18 sq cm (c) 8 sq cm (d) 16 sq cm
  2. 2.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 60 sq cm (d) 40 sq cm
  3. 3.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 27 sq cm (c) 22 sq cm (d) 18 sq cm
  4. 4.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 45 cm (c) 28 cm (d) 14 cm
  5. 5.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 30 sq cm (d) 24 sq cm
  6. 6.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 26 cm (c) 40 cm (d) 13 cm
  7. 7.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 75 cm (b) 7 cm (c) 6 cm (d) 12 cm
  8. 8.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 144 sq cm (d) 121 sq cm
  9. 9.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 56 sq cm (d) 28 sq cm
  10. 10.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 21 cm (b) 98 cm (c) 35 cm (d) 42 cm
  11. 11.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 23 cm (b) 132 cm (c) 46 cm (d) 35 cm
  12. 12.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 24 sq cm (d) 169 sq cm
  13. 13.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 50 sq cm (b) 40 sq cm (c) 28 sq cm (d) 14 sq cm
  14. 14.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 108 cm
  15. 15.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 5 cm (b) 10 cm (c) 52 cm (d) 6 cm
  16. 16.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 41 cm (d) 90 cm
  17. 17.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 171 cm (b) 10 cm (c) 20 cm (d) 11 cm
  18. 18.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
  19. 19.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 144 cm (c) 10 cm (d) 9 cm
  20. 20.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 156 cm (b) 38 cm (c) 25 cm (d) 50 cm
  21. 21.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 60 sq cm (d) 30 sq cm
  22. 22.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 104 cm
  23. 23.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
  24. 24.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 126 sq cm (b) 50 sq cm (c) 144 sq cm (d) 25 sq cm
  25. 25.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
  26. 26.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 31 cm (b) 34 cm (c) 42 cm (d) 17 cm
  27. 27.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 48 cm (b) 56 cm (c) 160 cm (d) 28 cm
  28. 28.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 60 cm (c) 5 cm (d) 8 cm
  29. 29.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 77 sq cm (b) 18 sq cm (c) 36 sq cm (d) 88 sq cm
  30. 30.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 198 cm
  31. 31.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 27 sq cm
  32. 32.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 9 cm (c) 133 cm (d) 16 cm
  33. 33.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 112 cm (c) 9 cm (d) 16 cm
  34. 34.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 66 cm (b) 34 cm (c) 17 cm (d) 28 cm
  35. 35.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 171 sq cm (d) 190 sq cm
  36. 36.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 22 cm (c) 18 cm (d) 11 cm
  37. 37.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 46 cm (b) 23 cm (c) 76 cm (d) 42 cm
  38. 38.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 160 cm (c) 12 cm (d) 22 cm
  39. 39.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 19 sq cm (c) 38 sq cm (d) 51 sq cm
  40. 40.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) 11 cm (d) 12 cm

Answer key

  1. 12 sq cm
  2. 40 sq cm
  3. 18 sq cm
  4. 28 cm
  5. 24 sq cm
  6. 26 cm
  7. 6 cm
  8. 121 sq cm
  9. 196 sq cm
  10. 42 cm
  11. 46 cm
  12. 144 sq cm
  13. 40 sq cm
  14. 7 cm
  15. 5 cm
  16. 46 cm
  17. 10 cm
  18. 49 sq cm
  19. 9 cm
  20. 50 cm
  21. 225 sq cm
  22. 9 cm
  23. 81 sq cm
  24. 126 sq cm
  25. 100 sq cm
  26. 34 cm
  27. 56 cm
  28. 4 cm
  29. 77 sq cm
  30. 12 cm
  31. 27 sq cm
  32. 8 cm
  33. 8 cm
  34. 34 cm
  35. 171 sq cm
  36. 22 cm
  37. 46 cm
  38. 11 cm
  39. 34 sq cm
  40. 11 cm

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