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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 255 · 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 13 cm long and 11 cm wide. What is its perimeter? (a) 143 cm (b) 24 cm (c) 37 cm (d) 48 cm
  2. 2.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 19 cm
  3. 3.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 90 cm
  4. 4.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 19 cm (c) 12 cm (d) 24 cm
  5. 5.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
  6. 6.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 12 cm (c) 27 cm (d) 24 cm
  7. 7.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 58 cm (b) 190 cm (c) 29 cm (d) 48 cm
  8. 8.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 20 cm (c) 26 cm (d) 42 cm
  9. 9.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 3 cm (c) 24 cm (d) 6 cm
  10. 10.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
  11. 11.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 28 sq cm (d) 14 sq cm
  12. 12.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 24 cm (b) 165 cm (c) 13 cm (d) 12 cm
  13. 13.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
  14. 14.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 153 sq cm (b) 136 sq cm (c) 50 sq cm (d) 25 sq cm
  15. 15.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
  16. 16.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 80 cm (c) 24 cm (d) 48 cm
  17. 17.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 48 cm (c) 32 cm (d) 28 cm
  18. 18.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 10 cm (b) 28 cm (c) 6 cm (d) 5 cm
  19. 19.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 162 cm (c) 20 cm (d) 10 cm
  20. 20.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 169 sq cm (d) 196 sq cm
  21. 21.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
  22. 22.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 144 sq cm (d) 22 sq cm
  23. 23.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 144 cm (c) 10 cm (d) 9 cm
  24. 24.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
  25. 25.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 56 sq cm (c) 30 sq cm (d) 15 sq cm
  26. 26.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 35 cm (c) 12 cm (d) 7 cm
  27. 27.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 16 cm (b) 27 cm (c) 32 cm (d) 55 cm
  28. 28.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 50 cm (b) 40 cm (c) 25 cm (d) 150 cm
  29. 29.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 16 cm (c) 10 cm (d) 18 cm
  30. 30.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 98 sq cm (b) 40 sq cm (c) 84 sq cm (d) 20 sq cm
  31. 31.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 104 sq cm (b) 42 sq cm (c) 21 sq cm (d) 117 sq cm
  32. 32.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 102 cm (b) 14 cm (c) 8 cm (d) 7 cm
  33. 33.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 128 cm (c) 9 cm (d) 18 cm
  34. 34.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 140 cm (c) 12 cm (d) 22 cm
  35. 35.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 72 cm (c) 10 cm (d) 6 cm
  36. 36.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 48 cm (d) 22 cm
  37. 37.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 128 sq cm (b) 23 sq cm (c) 46 sq cm (d) 112 sq cm
  38. 38.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 30 sq cm (c) 11 sq cm (d) 36 sq cm
  39. 39.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 48 cm
  40. 40.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 24 cm (c) 20 cm (d) 10 cm

Answer key

  1. 48 cm
  2. 2 cm
  3. 6 cm
  4. 24 cm
  5. 225 sq cm
  6. 24 cm
  7. 58 cm
  8. 26 cm
  9. 3 cm
  10. 144 sq cm
  11. 49 sq cm
  12. 12 cm
  13. 196 sq cm
  14. 136 sq cm
  15. 18 cm
  16. 48 cm
  17. 32 cm
  18. 5 cm
  19. 10 cm
  20. 169 sq cm
  21. 64 sq cm
  22. 121 sq cm
  23. 9 cm
  24. 25 sq cm
  25. 56 sq cm
  26. 6 cm
  27. 32 cm
  28. 50 cm
  29. 20 cm
  30. 84 sq cm
  31. 104 sq cm
  32. 7 cm
  33. 9 cm
  34. 11 cm
  35. 5 cm
  36. 28 cm
  37. 112 sq cm
  38. 30 sq cm
  39. 5 cm
  40. 20 cm

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