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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 131 · 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 16 cm long and 10 cm wide. What is its perimeter? (a) 42 cm (b) 52 cm (c) 160 cm (d) 26 cm
  2. 2.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 11 cm (c) 180 cm (d) 10 cm
  3. 3.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 75 cm (b) 6 cm (c) 12 cm (d) 7 cm
  4. 4.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 77 cm
  5. 5.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 80 sq cm (b) 21 sq cm (c) 96 sq cm (d) 42 sq cm
  6. 6.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 42 sq cm (b) 121 sq cm (c) 110 sq cm (d) 21 sq cm
  7. 7.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 24 cm
  8. 8.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 256 sq cm (d) 60 sq cm
  9. 9.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 3 cm (c) 2 cm (d) 4 cm
  10. 10.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 15 cm (b) 44 cm (c) 30 cm (d) 26 cm
  11. 11.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 220 cm (b) 51 cm (c) 31 cm (d) 62 cm
  12. 12.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 50 sq cm (b) 144 sq cm (c) 25 sq cm (d) 126 sq cm
  13. 13.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 12 cm (c) 22 cm (d) 11 cm
  14. 14.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 40 cm (c) 6 cm (d) 5 cm
  15. 15.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 60 cm (b) 6 cm (c) 10 cm (d) 5 cm
  16. 16.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 24 cm (c) 20 cm (d) 12 cm
  17. 17.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 18 cm (b) 9 cm (c) 104 cm (d) 10 cm
  18. 18.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 19 cm (b) 4 cm (c) 3 cm (d) 2 cm
  19. 19.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 7 cm (c) 108 cm (d) 14 cm
  20. 20.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
  21. 21.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 16 cm (b) 9 cm (c) 98 cm (d) 8 cm
  22. 22.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 52 sq cm (b) 17 sq cm (c) 65 sq cm (d) 34 sq cm
  23. 23.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 33 cm (d) 45 cm
  24. 24.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 32 sq cm (d) 64 sq cm
  25. 25.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 85 cm (b) 44 cm (c) 39 cm (d) 22 cm
  26. 26.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 42 cm (b) 136 cm (c) 25 cm (d) 50 cm
  27. 27.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 133 sq cm (b) 52 sq cm (c) 26 sq cm (d) 152 sq cm
  28. 28.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 16 sq cm (c) 24 sq cm (d) 10 sq cm
  29. 29.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 8 cm (c) 126 cm (d) 16 cm
  30. 30.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 22 cm (b) 35 cm (c) 44 cm (d) 117 cm
  31. 31.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 19 cm (b) 84 cm (c) 31 cm (d) 38 cm
  32. 32.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 108 sq cm (d) 126 sq cm
  33. 33.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
  34. 34.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 30 cm (c) 24 cm (d) 15 cm
  35. 35.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
  36. 36.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
  37. 37.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 30 cm (c) 32 cm (d) 16 cm
  38. 38.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 24 sq cm (d) 48 sq cm
  39. 39.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 56 sq cm (d) 48 sq cm
  40. 40.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 48 sq cm (b) 32 sq cm (c) 18 sq cm (d) 36 sq cm

Answer key

  1. 52 cm
  2. 10 cm
  3. 6 cm
  4. 8 cm
  5. 80 sq cm
  6. 110 sq cm
  7. 4 cm
  8. 225 sq cm
  9. 2 cm
  10. 30 cm
  11. 62 cm
  12. 126 sq cm
  13. 11 cm
  14. 5 cm
  15. 5 cm
  16. 24 cm
  17. 9 cm
  18. 2 cm
  19. 7 cm
  20. 169 sq cm
  21. 8 cm
  22. 52 sq cm
  23. 36 cm
  24. 64 sq cm
  25. 44 cm
  26. 50 cm
  27. 133 sq cm
  28. 16 sq cm
  29. 8 cm
  30. 44 cm
  31. 38 cm
  32. 108 sq cm
  33. 36 sq cm
  34. 30 cm
  35. 196 sq cm
  36. 81 sq cm
  37. 32 cm
  38. 144 sq cm
  39. 48 sq cm
  40. 32 sq cm

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