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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 639 · 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 square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
  2. 2.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 14 cm (b) 96 cm (c) 7 cm (d) 8 cm
  3. 3.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 19 cm (b) 2 cm (c) 3 cm (d) 4 cm
  4. 4.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 98 cm (b) 9 cm (c) 8 cm (d) 16 cm
  5. 5.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 170 cm
  6. 6.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 169 sq cm (d) 156 sq cm
  7. 7.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 26 cm (c) 72 cm (d) 34 cm
  8. 8.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 51 cm (b) 5 cm (c) 8 cm (d) 4 cm
  9. 9.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
  10. 10.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 30 cm (c) 15 cm (d) 25 cm
  11. 11.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 48 cm (b) 24 cm (c) 37 cm (d) 143 cm
  12. 12.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 240 cm (b) 52 cm (c) 32 cm (d) 64 cm
  13. 13.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 68 cm
  14. 14.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 48 sq cm (c) 56 sq cm (d) 14 sq cm
  15. 15.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 23 sq cm (c) 130 sq cm (d) 46 sq cm
  16. 16.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 48 cm (b) 160 cm (c) 56 cm (d) 28 cm
  17. 17.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 12 cm (c) 13 cm (d) 24 cm
  18. 18.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 24 sq cm (b) 156 sq cm (c) 48 sq cm (d) 143 sq cm
  19. 19.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 39 cm (b) 22 cm (c) 85 cm (d) 44 cm
  20. 20.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 25 sq cm (b) 153 sq cm (c) 50 sq cm (d) 136 sq cm
  21. 21.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 22 cm
  22. 22.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 20 cm
  23. 23.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 209 cm
  24. 24.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 70 cm (c) 12 cm (d) 6 cm
  25. 25.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 17 cm (c) 20 cm (d) 21 cm
  26. 26.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 24 cm (c) 10 cm (d) 20 cm
  27. 27.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 5 cm (b) 44 cm (c) 6 cm (d) 10 cm
  28. 28.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 2 cm
  29. 29.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 30 sq cm (d) 12 sq cm
  30. 30.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 40 sq cm (c) 48 sq cm (d) 13 sq cm
  31. 31.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 52 sq cm (d) 26 sq cm
  32. 32.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
  33. 33.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 54 sq cm (c) 28 sq cm (d) 45 sq cm
  34. 34.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 3 cm (c) 16 cm (d) 4 cm
  35. 35.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 27 sq cm (d) 12 sq cm
  36. 36.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 18 cm (c) 128 cm (d) 10 cm
  37. 37.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 14 cm (b) 8 cm (c) 48 cm (d) 7 cm
  38. 38.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 25 cm (c) 32 cm (d) 16 cm
  39. 39.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 76 cm
  40. 40.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 10 sq cm (c) 24 sq cm (d) 20 sq cm

Answer key

  1. 121 sq cm
  2. 7 cm
  3. 2 cm
  4. 8 cm
  5. 11 cm
  6. 156 sq cm
  7. 34 cm
  8. 4 cm
  9. 225 sq cm
  10. 30 cm
  11. 48 cm
  12. 64 cm
  13. 5 cm
  14. 48 sq cm
  15. 130 sq cm
  16. 56 cm
  17. 12 cm
  18. 143 sq cm
  19. 44 cm
  20. 136 sq cm
  21. 3 cm
  22. 2 cm
  23. 12 cm
  24. 6 cm
  25. 20 cm
  26. 20 cm
  27. 5 cm
  28. 2 cm
  29. 20 sq cm
  30. 40 sq cm
  31. 169 sq cm
  32. 64 sq cm
  33. 45 sq cm
  34. 3 cm
  35. 27 sq cm
  36. 9 cm
  37. 7 cm
  38. 32 cm
  39. 5 cm
  40. 24 sq cm

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