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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 305 · 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 11 cm long and 9 cm wide. What is its perimeter? (a) 40 cm (b) 31 cm (c) 99 cm (d) 20 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 square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 20 sq cm (d) 40 sq cm
  4. 4.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 26 cm (b) 133 cm (c) 45 cm (d) 52 cm
  5. 5.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 99 sq cm (b) 88 sq cm (c) 19 sq cm (d) 38 sq cm
  6. 6.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 104 sq cm (b) 21 sq cm (c) 117 sq cm (d) 42 sq cm
  7. 7.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
  8. 8.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 126 cm (c) 43 cm (d) 50 cm
  9. 9.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
  10. 10.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 15 cm (c) 2 cm (d) 4 cm
  11. 11.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 160 cm (b) 12 cm (c) 22 cm (d) 11 cm
  12. 12.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 169 sq cm (d) 196 sq cm
  13. 13.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 2 cm (b) 3 cm (c) 11 cm (d) 4 cm
  14. 14.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 13 cm (c) 176 cm (d) 24 cm
  15. 15.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 88 sq cm (d) 77 sq cm
  16. 16.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
  17. 17.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 136 sq cm (c) 25 sq cm (d) 153 sq cm
  18. 18.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 112 cm
  19. 19.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 18 cm (c) 28 cm (d) 36 cm
  20. 20.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 62 sq cm (b) 247 sq cm (c) 228 sq cm (d) 31 sq cm
  21. 21.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 128 sq cm (b) 23 sq cm (c) 112 sq cm (d) 46 sq cm
  22. 22.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 144 sq cm (b) 132 sq cm (c) 46 sq cm (d) 23 sq cm
  23. 23.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
  24. 24.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 180 sq cm (d) 165 sq cm
  25. 25.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 44 sq cm (d) 22 sq cm
  26. 26.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 17 sq cm (c) 34 sq cm (d) 70 sq cm
  27. 27.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 112 cm (b) 23 cm (c) 39 cm (d) 46 cm
  28. 28.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
  29. 29.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 12 sq cm (c) 40 sq cm (d) 24 sq cm
  30. 30.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 56 cm (c) 30 cm (d) 23 cm
  31. 31.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 162 cm (c) 20 cm (d) 10 cm
  32. 32.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 10 cm
  33. 33.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 23 cm (b) 120 cm (c) 38 cm (d) 46 cm
  34. 34.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 25 cm (b) 42 cm (c) 136 cm (d) 50 cm
  35. 35.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 14 cm (c) 40 cm (d) 28 cm
  36. 36.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 10 cm (c) 20 cm (d) 16 cm
  37. 37.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 117 cm
  38. 38.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 34 sq cm (b) 66 sq cm (c) 17 sq cm (d) 77 sq cm
  39. 39.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 56 sq cm (b) 180 sq cm (c) 160 sq cm (d) 28 sq cm
  40. 40.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 28 sq cm (d) 21 sq cm

Answer key

  1. 40 cm
  2. 40 sq cm
  3. 100 sq cm
  4. 52 cm
  5. 88 sq cm
  6. 104 sq cm
  7. 196 sq cm
  8. 50 cm
  9. 81 sq cm
  10. 2 cm
  11. 11 cm
  12. 169 sq cm
  13. 2 cm
  14. 12 cm
  15. 77 sq cm
  16. 49 sq cm
  17. 136 sq cm
  18. 9 cm
  19. 36 cm
  20. 228 sq cm
  21. 112 sq cm
  22. 132 sq cm
  23. 25 sq cm
  24. 165 sq cm
  25. 121 sq cm
  26. 70 sq cm
  27. 46 cm
  28. 10 cm
  29. 32 sq cm
  30. 30 cm
  31. 10 cm
  32. 2 cm
  33. 46 cm
  34. 50 cm
  35. 28 cm
  36. 20 cm
  37. 10 cm
  38. 66 sq cm
  39. 160 sq cm
  40. 21 sq cm

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