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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 512 · 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 has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 56 cm (b) 6 cm (c) 10 cm (d) 5 cm
  2. 2.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 21 cm (c) 20 cm (d) 17 cm
  3. 3.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 57 cm
  4. 4.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 10 cm (b) 6 cm (c) 32 cm (d) 5 cm
  5. 5.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 46 cm (b) 27 cm (c) 54 cm (d) 152 cm
  6. 6.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 23 cm (b) 40 cm (c) 46 cm (d) 102 cm
  7. 7.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 182 sq cm (d) 168 sq cm
  8. 8.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 50 sq cm (b) 144 sq cm (c) 160 sq cm (d) 25 sq cm
  9. 9.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 26 sq cm (d) 52 sq cm
  10. 10.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 64 sq cm (b) 38 sq cm (c) 19 sq cm (d) 48 sq cm
  11. 11.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
  12. 12.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 20 cm (b) 99 cm (c) 10 cm (d) 11 cm
  13. 13.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
  14. 14.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 10 cm (b) 3 cm (c) 4 cm (d) 6 cm
  15. 15.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 128 sq cm (d) 48 sq cm
  16. 16.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 16 cm (c) 10 cm (d) 20 cm
  17. 17.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 40 cm (c) 36 cm (d) 20 cm
  18. 18.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 5 cm (b) 8 cm (c) 33 cm (d) 4 cm
  19. 19.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 180 cm (c) 22 cm (d) 11 cm
  20. 20.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 84 cm (b) 14 cm (c) 7 cm (d) 8 cm
  21. 21.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 45 cm (c) 12 cm (d) 7 cm
  22. 22.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 169 sq cm (d) 48 sq cm
  23. 23.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 160 cm (c) 11 cm (d) 22 cm
  24. 24.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 20 sq cm (d) 12 sq cm
  25. 25.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 14 sq cm (d) 21 sq cm
  26. 26.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 18 cm (b) 128 cm (c) 9 cm (d) 10 cm
  27. 27.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
  28. 28.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 29 sq cm (b) 58 sq cm (c) 209 sq cm (d) 190 sq cm
  29. 29.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 121 sq cm (b) 21 sq cm (c) 110 sq cm (d) 42 sq cm
  30. 30.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 12 cm (c) 187 cm (d) 24 cm
  31. 31.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 42 sq cm (b) 108 sq cm (c) 120 sq cm (d) 21 sq cm
  32. 32.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 140 sq cm (d) 126 sq cm
  33. 33.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 17 cm (b) 70 cm (c) 34 cm (d) 27 cm
  34. 34.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 70 sq cm (c) 17 sq cm (d) 34 sq cm
  35. 35.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 26 cm (d) 28 cm
  36. 36.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 30 cm (b) 5 cm (c) 4 cm (d) 8 cm
  37. 37.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 60 cm (b) 29 cm (c) 17 cm (d) 34 cm
  38. 38.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 18 cm (b) 28 cm (c) 36 cm (d) 80 cm
  39. 39.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 156 cm (d) 38 cm
  40. 40.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 10 cm (c) 52 cm (d) 5 cm

Answer key

  1. 5 cm
  2. 20 cm
  3. 4 cm
  4. 5 cm
  5. 54 cm
  6. 46 cm
  7. 168 sq cm
  8. 144 sq cm
  9. 169 sq cm
  10. 48 sq cm
  11. 49 sq cm
  12. 10 cm
  13. 196 sq cm
  14. 3 cm
  15. 128 sq cm
  16. 20 cm
  17. 40 cm
  18. 4 cm
  19. 11 cm
  20. 7 cm
  21. 6 cm
  22. 144 sq cm
  23. 11 cm
  24. 20 sq cm
  25. 14 sq cm
  26. 9 cm
  27. 81 sq cm
  28. 190 sq cm
  29. 110 sq cm
  30. 12 cm
  31. 108 sq cm
  32. 126 sq cm
  33. 34 cm
  34. 70 sq cm
  35. 30 cm
  36. 4 cm
  37. 34 cm
  38. 36 cm
  39. 50 cm
  40. 5 cm

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