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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 932 · 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 20 cm long and 4 cm wide. What is its perimeter? (a) 80 cm (b) 48 cm (c) 44 cm (d) 24 cm
  2. 2.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 144 sq cm (d) 24 sq cm
  3. 3.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 50 sq cm (b) 133 sq cm (c) 114 sq cm (d) 25 sq cm
  4. 4.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 13 sq cm (c) 49 sq cm (d) 26 sq cm
  5. 5.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 196 sq cm (d) 169 sq cm
  6. 6.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 25 cm (b) 154 cm (c) 50 cm (d) 39 cm
  7. 7.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 88 cm (d) 30 cm
  8. 8.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 38 sq cm (b) 100 sq cm (c) 90 sq cm (d) 19 sq cm
  9. 9.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 190 cm (c) 22 cm (d) 11 cm
  10. 10.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 25 sq cm (d) 36 sq cm
  11. 11.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 10 cm (b) 28 cm (c) 6 cm (d) 5 cm
  12. 12.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
  13. 13.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 68 sq cm (b) 40 sq cm (c) 20 sq cm (d) 51 sq cm
  14. 14.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 20 cm (b) 135 cm (c) 10 cm (d) 11 cm
  15. 15.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm
  16. 16.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 68 cm
  17. 17.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
  18. 18.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 102 cm (c) 7 cm (d) 14 cm
  19. 19.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 176 sq cm (b) 52 sq cm (c) 26 sq cm (d) 160 sq cm
  20. 20.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 46 cm (b) 102 cm (c) 23 cm (d) 40 cm
  21. 21.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 32 cm (b) 52 cm (c) 240 cm (d) 64 cm
  22. 22.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 171 sq cm (b) 152 sq cm (c) 54 sq cm (d) 27 sq cm
  23. 23.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 20 cm (d) 24 cm
  24. 24.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 13 cm (c) 12 cm (d) 24 cm
  25. 25.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 60 sq cm (d) 40 sq cm
  26. 26.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 44 cm (b) 27 cm (c) 54 cm (d) 170 cm
  27. 27.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 64 sq cm (d) 32 sq cm
  28. 28.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 46 cm (b) 152 cm (c) 27 cm (d) 54 cm
  29. 29.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 14 cm (b) 66 cm (c) 7 cm (d) 8 cm
  30. 30.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 98 sq cm (d) 84 sq cm
  31. 31.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 36 cm (b) 5 cm (c) 4 cm (d) 8 cm
  32. 32.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 18 sq cm (d) 36 sq cm
  33. 33.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 216 cm (b) 48 cm (c) 60 cm (d) 30 cm
  34. 34.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 60 cm (d) 43 cm
  35. 35.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 31 cm (b) 51 cm (c) 62 cm (d) 220 cm
  36. 36.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 16 cm (c) 18 cm (d) 14 cm
  37. 37.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 120 cm (c) 12 cm (d) 22 cm
  38. 38.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 40 sq cm (d) 121 sq cm
  39. 39.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 24 sq cm (b) 150 sq cm (c) 48 sq cm (d) 135 sq cm
  40. 40.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 24 cm (c) 22 cm (d) 19 cm

Answer key

  1. 48 cm
  2. 144 sq cm
  3. 114 sq cm
  4. 42 sq cm
  5. 169 sq cm
  6. 50 cm
  7. 38 cm
  8. 90 sq cm
  9. 11 cm
  10. 25 sq cm
  11. 5 cm
  12. 49 sq cm
  13. 51 sq cm
  14. 10 cm
  15. 121 sq cm
  16. 5 cm
  17. 196 sq cm
  18. 7 cm
  19. 160 sq cm
  20. 46 cm
  21. 64 cm
  22. 152 sq cm
  23. 20 cm
  24. 12 cm
  25. 40 sq cm
  26. 54 cm
  27. 64 sq cm
  28. 54 cm
  29. 7 cm
  30. 84 sq cm
  31. 4 cm
  32. 81 sq cm
  33. 60 cm
  34. 46 cm
  35. 62 cm
  36. 18 cm
  37. 11 cm
  38. 100 sq cm
  39. 135 sq cm
  40. 22 cm

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