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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 937 · 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 91 sq cm and a length of 13 cm. What is its width? (a) 78 cm (b) 8 cm (c) 14 cm (d) 7 cm
  2. 2.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 24 cm (c) 12 cm (d) 13 cm
  3. 3.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 28 cm (c) 36 cm (d) 18 cm
  4. 4.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 70 cm (d) 33 cm
  5. 5.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 52 sq cm (d) 39 sq cm
  6. 6.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 42 sq cm (c) 26 sq cm (d) 13 sq cm
  7. 7.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 20 cm (b) 91 cm (c) 40 cm (d) 33 cm
  8. 8.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 48 sq cm (d) 24 sq cm
  9. 9.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 15 cm (c) 19 cm (d) 9 cm
  10. 10.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 28 cm
  11. 11.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 91 sq cm (b) 19 sq cm (c) 38 sq cm (d) 78 sq cm
  12. 12.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 96 cm (b) 14 cm (c) 8 cm (d) 7 cm
  13. 13.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
  14. 14.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 98 sq cm (b) 42 sq cm (c) 112 sq cm (d) 21 sq cm
  15. 15.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 26 cm (b) 30 cm (c) 44 cm (d) 15 cm
  16. 16.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 47 cm (b) 56 cm (c) 171 cm (d) 28 cm
  17. 17.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 65 cm
  18. 18.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 57 sq cm (d) 76 sq cm
  19. 19.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
  20. 20.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 34 cm (c) 6 cm (d) 4 cm
  21. 21.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 121 sq cm (d) 40 sq cm
  22. 22.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 11 sq cm (c) 18 sq cm (d) 22 sq cm
  23. 23.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 29 cm (b) 32 cm (c) 16 cm (d) 39 cm
  24. 24.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 90 cm (b) 41 cm (c) 23 cm (d) 46 cm
  25. 25.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
  26. 26.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 12 cm (c) 11 cm (d) 22 cm
  27. 27.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
  28. 28.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 200 cm
  29. 29.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
  30. 30.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 20 cm (b) 10 cm (c) 11 cm (d) 126 cm
  31. 31.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 20 cm (c) 10 cm (d) 24 cm
  32. 32.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 132 sq cm (d) 120 sq cm
  33. 33.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 24 cm (b) 8 cm (c) 5 cm (d) 4 cm
  34. 34.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 96 sq cm (b) 38 sq cm (c) 19 sq cm (d) 84 sq cm
  35. 35.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 48 cm (b) 216 cm (c) 60 cm (d) 30 cm
  36. 36.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 28 cm (b) 45 cm (c) 23 cm (d) 14 cm
  37. 37.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 10 sq cm (d) 36 sq cm
  38. 38.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 72 cm (c) 30 cm (d) 18 cm
  39. 39.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 200 cm (b) 60 cm (c) 30 cm (d) 50 cm
  40. 40.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 19 cm (c) 24 cm (d) 11 cm

Answer key

  1. 7 cm
  2. 12 cm
  3. 36 cm
  4. 38 cm
  5. 39 sq cm
  6. 42 sq cm
  7. 40 cm
  8. 144 sq cm
  9. 18 cm
  10. 3 cm
  11. 78 sq cm
  12. 7 cm
  13. 81 sq cm
  14. 98 sq cm
  15. 30 cm
  16. 56 cm
  17. 6 cm
  18. 57 sq cm
  19. 121 sq cm
  20. 3 cm
  21. 100 sq cm
  22. 18 sq cm
  23. 32 cm
  24. 46 cm
  25. 196 sq cm
  26. 11 cm
  27. 4 cm
  28. 11 cm
  29. 49 sq cm
  30. 10 cm
  31. 20 cm
  32. 120 sq cm
  33. 4 cm
  34. 84 sq cm
  35. 60 cm
  36. 28 cm
  37. 25 sq cm
  38. 36 cm
  39. 60 cm
  40. 22 cm

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