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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 833 · 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 14 cm long and 7 cm wide. What is its perimeter? (a) 21 cm (b) 98 cm (c) 35 cm (d) 42 cm
  2. 2.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 24 sq cm (c) 36 sq cm (d) 14 sq cm
  3. 3.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 75 cm
  4. 4.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 16 sq cm (c) 10 sq cm (d) 24 sq cm
  5. 5.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 40 cm (b) 168 cm (c) 26 cm (d) 52 cm
  6. 6.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 133 sq cm (b) 114 sq cm (c) 50 sq cm (d) 25 sq cm
  7. 7.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 22 cm (b) 12 cm (c) 130 cm (d) 11 cm
  8. 8.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 128 cm (b) 10 cm (c) 9 cm (d) 18 cm
  9. 9.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) 8 cm (d) 4 cm
  10. 10.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 28 sq cm (b) 190 sq cm (c) 56 sq cm (d) 171 sq cm
  11. 11.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 45 cm (b) 12 cm (c) 6 cm (d) 7 cm
  12. 12.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 15 cm (b) 3 cm (c) 4 cm (d) 2 cm
  13. 13.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 120 cm
  14. 14.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 216 cm (b) 30 cm (c) 48 cm (d) 60 cm
  15. 15.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
  16. 16.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 19 cm (c) 60 cm (d) 38 cm
  17. 17.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 3 cm (b) 22 cm (c) 4 cm (d) 6 cm
  18. 18.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 32 cm (b) 16 cm (c) 63 cm (d) 25 cm
  19. 19.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 27 sq cm (c) 11 sq cm (d) 22 sq cm
  20. 20.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 112 cm
  21. 21.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 42 sq cm (c) 34 sq cm (d) 56 sq cm
  22. 22.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 76 sq cm (b) 23 sq cm (c) 46 sq cm (d) 95 sq cm
  23. 23.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 58 sq cm (b) 180 sq cm (c) 200 sq cm (d) 29 sq cm
  24. 24.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
  25. 25.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 225 sq cm (d) 60 sq cm
  26. 26.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 10 cm (c) 44 cm (d) 5 cm
  27. 27.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 108 cm (b) 48 cm (c) 24 cm (d) 42 cm
  28. 28.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 22 sq cm (c) 33 sq cm (d) 13 sq cm
  29. 29.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 176 sq cm (b) 192 sq cm (c) 54 sq cm (d) 27 sq cm
  30. 30.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 16 cm (b) 133 cm (c) 8 cm (d) 9 cm
  31. 31.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 26 sq cm (d) 169 sq cm
  32. 32.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 14 cm (b) 8 cm (c) 96 cm (d) 7 cm
  33. 33.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
  34. 34.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 180 sq cm (b) 160 sq cm (c) 56 sq cm (d) 28 sq cm
  35. 35.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 49 sq cm
  36. 36.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 12 cm (b) 6 cm (c) 35 cm (d) 7 cm
  37. 37.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 18 cm (d) 20 cm
  38. 38.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 26 sq cm (b) 152 sq cm (c) 133 sq cm (d) 52 sq cm
  39. 39.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 187 sq cm (d) 204 sq cm
  40. 40.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 19 sq cm (b) 91 sq cm (c) 78 sq cm (d) 38 sq cm

Answer key

  1. 42 cm
  2. 24 sq cm
  3. 6 cm
  4. 16 sq cm
  5. 52 cm
  6. 114 sq cm
  7. 11 cm
  8. 9 cm
  9. 4 cm
  10. 171 sq cm
  11. 6 cm
  12. 2 cm
  13. 7 cm
  14. 60 cm
  15. 65 sq cm
  16. 38 cm
  17. 3 cm
  18. 32 cm
  19. 18 sq cm
  20. 9 cm
  21. 42 sq cm
  22. 76 sq cm
  23. 180 sq cm
  24. 81 sq cm
  25. 225 sq cm
  26. 5 cm
  27. 48 cm
  28. 22 sq cm
  29. 176 sq cm
  30. 8 cm
  31. 169 sq cm
  32. 7 cm
  33. 12 sq cm
  34. 160 sq cm
  35. 36 sq cm
  36. 6 cm
  37. 20 cm
  38. 133 sq cm
  39. 187 sq cm
  40. 78 sq cm

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