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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 228 · 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 187 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 170 cm
  2. 2.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 119 cm
  3. 3.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
  4. 4.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 45 cm (c) 14 cm (d) 28 cm
  5. 5.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 33 cm (c) 45 cm (d) 36 cm
  6. 6.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 102 sq cm (b) 85 sq cm (c) 22 sq cm (d) 44 sq cm
  7. 7.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 180 cm (c) 12 cm (d) 11 cm
  8. 8.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 64 sq cm (c) 48 sq cm (d) 38 sq cm
  9. 9.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 14 cm (b) 7 cm (c) 96 cm (d) 8 cm
  10. 10.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 50 sq cm (d) 40 sq cm
  11. 11.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 6 cm (c) 68 cm (d) 10 cm
  12. 12.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 27 cm (b) 176 cm (c) 43 cm (d) 54 cm
  13. 13.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 18 cm (c) 10 cm (d) 16 cm
  14. 14.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 13 cm (c) 24 cm (d) 12 cm
  15. 15.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 12 sq cm (c) 35 sq cm (d) 24 sq cm
  16. 16.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
  17. 17.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 45 sq cm (d) 30 sq cm
  18. 18.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 50 sq cm (c) 15 sq cm (d) 30 sq cm
  19. 19.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
  20. 20.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 100 sq cm (b) 38 sq cm (c) 90 sq cm (d) 19 sq cm
  21. 21.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 14 cm (c) 8 cm (d) 48 cm
  22. 22.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 5 cm (b) 10 cm (c) 64 cm (d) 6 cm
  23. 23.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 36 cm (c) 5 cm (d) 4 cm
  24. 24.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 54 sq cm (b) 152 sq cm (c) 27 sq cm (d) 171 sq cm
  25. 25.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 21 cm
  26. 26.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 77 sq cm (b) 36 sq cm (c) 18 sq cm (d) 88 sq cm
  27. 27.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
  28. 28.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 100 cm (c) 25 cm (d) 45 cm
  29. 29.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 32 cm (c) 30 cm (d) 17 cm
  30. 30.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 57 cm
  31. 31.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 54 cm (c) 39 cm (d) 42 cm
  32. 32.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 12 cm (c) 154 cm (d) 24 cm
  33. 33.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 36 sq cm (d) 54 sq cm
  34. 34.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
  35. 35.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 50 cm (b) 43 cm (c) 25 cm (d) 126 cm
  36. 36.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 52 sq cm (b) 168 sq cm (c) 26 sq cm (d) 182 sq cm
  37. 37.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 120 cm (b) 8 cm (c) 7 cm (d) 14 cm
  38. 38.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 30 cm (c) 28 cm (d) 32 cm
  39. 39.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
  40. 40.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 128 sq cm (d) 112 sq cm

Answer key

  1. 11 cm
  2. 8 cm
  3. 144 sq cm
  4. 28 cm
  5. 36 cm
  6. 85 sq cm
  7. 11 cm
  8. 48 sq cm
  9. 7 cm
  10. 40 sq cm
  11. 5 cm
  12. 54 cm
  13. 20 cm
  14. 12 cm
  15. 35 sq cm
  16. 169 sq cm
  17. 30 sq cm
  18. 50 sq cm
  19. 49 sq cm
  20. 90 sq cm
  21. 7 cm
  22. 5 cm
  23. 4 cm
  24. 152 sq cm
  25. 4 cm
  26. 77 sq cm
  27. 81 sq cm
  28. 50 cm
  29. 34 cm
  30. 4 cm
  31. 42 cm
  32. 12 cm
  33. 36 sq cm
  34. 64 sq cm
  35. 50 cm
  36. 168 sq cm
  37. 7 cm
  38. 32 cm
  39. 100 sq cm
  40. 112 sq cm

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