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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 976 · 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 12 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 6 cm (c) 2 cm (d) 4 cm
  2. 2.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 128 cm
  3. 3.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 256 sq cm (d) 60 sq cm
  4. 4.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 27 cm (b) 43 cm (c) 54 cm (d) 176 cm
  5. 5.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
  6. 6.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 26 sq cm (c) 13 sq cm (d) 40 sq cm
  7. 7.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 120 cm (b) 14 cm (c) 7 cm (d) 8 cm
  8. 8.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 18 sq cm (c) 9 sq cm (d) 19 sq cm
  9. 9.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 34 cm (c) 60 cm (d) 19 cm
  10. 10.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 48 cm (b) 40 cm (c) 128 cm (d) 24 cm
  11. 11.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 56 sq cm (d) 196 sq cm
  12. 12.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 56 cm (c) 28 cm (d) 180 cm
  13. 13.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 54 sq cm (b) 42 sq cm (c) 72 sq cm (d) 21 sq cm
  14. 14.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 24 cm (b) 154 cm (c) 13 cm (d) 12 cm
  15. 15.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 45 cm (d) 23 cm
  16. 16.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 28 sq cm (d) 14 sq cm
  17. 17.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 27 sq cm (b) 170 sq cm (c) 187 sq cm (d) 54 sq cm
  18. 18.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 3 cm (c) 17 cm (d) 2 cm
  19. 19.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 20 sq cm (b) 104 sq cm (c) 91 sq cm (d) 40 sq cm
  20. 20.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 12 cm (c) 143 cm (d) 13 cm
  21. 21.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 100 cm
  22. 22.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 78 sq cm (b) 36 sq cm (c) 65 sq cm (d) 18 sq cm
  23. 23.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 16 sq cm (d) 81 sq cm
  24. 24.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 11 cm (c) 19 cm (d) 22 cm
  25. 25.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 70 cm (b) 6 cm (c) 12 cm (d) 7 cm
  26. 26.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
  27. 27.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 208 sq cm (d) 192 sq cm
  28. 28.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
  29. 29.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 70 sq cm (b) 38 sq cm (c) 19 sq cm (d) 84 sq cm
  30. 30.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 24 sq cm (b) 135 sq cm (c) 48 sq cm (d) 150 sq cm
  31. 31.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 36 cm (c) 30 cm (d) 15 cm
  32. 32.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 42 sq cm (c) 49 sq cm (d) 13 sq cm
  33. 33.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 12 cm (d) 24 cm
  34. 34.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 5 cm (b) 64 cm (c) 10 cm (d) 6 cm
  35. 35.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 28 sq cm (c) 50 sq cm (d) 14 sq cm
  36. 36.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 51 cm (b) 37 cm (c) 20 cm (d) 40 cm
  37. 37.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 77 cm
  38. 38.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 13 sq cm (c) 36 sq cm (d) 26 sq cm
  39. 39.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 10 cm (c) 18 cm (d) 9 cm
  40. 40.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 120 sq cm (c) 100 sq cm (d) 25 sq cm

Answer key

  1. 2 cm
  2. 9 cm
  3. 225 sq cm
  4. 54 cm
  5. 144 sq cm
  6. 30 sq cm
  7. 7 cm
  8. 18 sq cm
  9. 38 cm
  10. 48 cm
  11. 196 sq cm
  12. 56 cm
  13. 54 sq cm
  14. 12 cm
  15. 28 cm
  16. 49 sq cm
  17. 170 sq cm
  18. 2 cm
  19. 91 sq cm
  20. 12 cm
  21. 6 cm
  22. 65 sq cm
  23. 64 sq cm
  24. 22 cm
  25. 6 cm
  26. 36 sq cm
  27. 192 sq cm
  28. 25 sq cm
  29. 70 sq cm
  30. 135 sq cm
  31. 30 cm
  32. 42 sq cm
  33. 24 cm
  34. 5 cm
  35. 40 sq cm
  36. 40 cm
  37. 8 cm
  38. 36 sq cm
  39. 9 cm
  40. 100 sq cm

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