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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 318 · 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 3 cm wide. What is its perimeter? (a) 35 cm (b) 48 cm (c) 38 cm (d) 19 cm
  2. 2.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
  3. 3.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 128 sq cm (b) 23 sq cm (c) 112 sq cm (d) 46 sq cm
  4. 4.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 56 cm
  5. 5.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 170 cm (b) 44 cm (c) 54 cm (d) 27 cm
  6. 6.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 26 cm (b) 23 cm (c) 13 cm (d) 30 cm
  7. 7.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 54 sq cm (b) 40 sq cm (c) 36 sq cm (d) 20 sq cm
  8. 8.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 30 sq cm (d) 60 sq cm
  9. 9.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 24 cm (c) 80 cm (d) 44 cm
  10. 10.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 4 cm (c) 8 cm (d) 3 cm
  11. 11.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 62 sq cm (b) 220 sq cm (c) 240 sq cm (d) 31 sq cm
  12. 12.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 196 sq cm (d) 52 sq cm
  13. 13.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 33 cm (c) 8 cm (d) 5 cm
  14. 14.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 198 sq cm (b) 56 sq cm (c) 180 sq cm (d) 28 sq cm
  15. 15.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 120 sq cm (d) 108 sq cm
  16. 16.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 51 cm (c) 40 cm (d) 37 cm
  17. 17.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 4 cm (c) 10 cm (d) 6 cm
  18. 18.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 14 sq cm (c) 45 sq cm (d) 28 sq cm
  19. 19.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 36 sq cm (c) 18 sq cm (d) 90 sq cm
  20. 20.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 12 cm (c) 13 cm (d) 24 cm
  21. 21.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 40 sq cm (d) 30 sq cm
  22. 22.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 51 sq cm (b) 20 sq cm (c) 68 sq cm (d) 40 sq cm
  23. 23.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 38 cm (b) 4 cm (c) 3 cm (d) 6 cm
  24. 24.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 32 sq cm (c) 63 sq cm (d) 16 sq cm
  25. 25.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 13 cm (c) 4 cm (d) 2 cm
  26. 26.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 9 cm (c) 16 cm (d) 126 cm
  27. 27.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 40 sq cm (c) 20 sq cm (d) 98 sq cm
  28. 28.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 13 cm (b) 24 cm (c) 209 cm (d) 12 cm
  29. 29.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 17 cm (c) 30 cm (d) 22 cm
  30. 30.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 16 cm (c) 112 cm (d) 8 cm
  31. 31.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 40 sq cm (c) 32 sq cm (d) 24 sq cm
  32. 32.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
  33. 33.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
  34. 34.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 169 sq cm (d) 48 sq cm
  35. 35.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
  36. 36.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 22 cm (c) 12 cm (d) 11 cm
  37. 37.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 153 cm (b) 10 cm (c) 20 cm (d) 11 cm
  38. 38.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 42 cm (c) 21 cm (d) 68 cm
  39. 39.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 95 cm (b) 6 cm (c) 7 cm (d) 12 cm
  40. 40.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 4 cm (c) 30 cm (d) 6 cm

Answer key

  1. 38 cm
  2. 49 sq cm
  3. 112 sq cm
  4. 5 cm
  5. 54 cm
  6. 26 cm
  7. 36 sq cm
  8. 225 sq cm
  9. 48 cm
  10. 3 cm
  11. 220 sq cm
  12. 169 sq cm
  13. 4 cm
  14. 180 sq cm
  15. 108 sq cm
  16. 40 cm
  17. 3 cm
  18. 45 sq cm
  19. 80 sq cm
  20. 12 cm
  21. 30 sq cm
  22. 51 sq cm
  23. 3 cm
  24. 63 sq cm
  25. 2 cm
  26. 8 cm
  27. 84 sq cm
  28. 12 cm
  29. 22 cm
  30. 8 cm
  31. 32 sq cm
  32. 64 sq cm
  33. 7 cm
  34. 144 sq cm
  35. 196 sq cm
  36. 11 cm
  37. 10 cm
  38. 42 cm
  39. 6 cm
  40. 3 cm

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