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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 915 · 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 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 32 cm (c) 60 cm (d) 16 cm
  2. 2.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 50 cm (b) 6 cm (c) 7 cm (d) 12 cm
  3. 3.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 18 cm (c) 36 cm (d) 33 cm
  4. 4.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 60 sq cm (b) 216 sq cm (c) 234 sq cm (d) 30 sq cm
  5. 5.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 27 cm (b) 46 cm (c) 152 cm (d) 54 cm
  6. 6.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 144 cm (c) 20 cm (d) 10 cm
  7. 7.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 16 sq cm (d) 64 sq cm
  8. 8.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 114 cm (b) 50 cm (c) 25 cm (d) 44 cm
  9. 9.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 18 sq cm (d) 100 sq cm
  10. 10.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 18 cm (b) 4 cm (c) 5 cm (d) 8 cm
  11. 11.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 18 cm (c) 16 cm (d) 9 cm
  12. 12.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 60 sq cm (b) 32 sq cm (c) 16 sq cm (d) 70 sq cm
  13. 13.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 18 cm (c) 152 cm (d) 10 cm
  14. 14.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 119 cm
  15. 15.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 13 cm (b) 209 cm (c) 24 cm (d) 12 cm
  16. 16.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 27 sq cm (c) 18 sq cm (d) 11 sq cm
  17. 17.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 136 cm (b) 10 cm (c) 9 cm (d) 18 cm
  18. 18.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 169 sq cm (d) 52 sq cm
  19. 19.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 18 sq cm (b) 78 sq cm (c) 65 sq cm (d) 36 sq cm
  20. 20.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 65 sq cm (b) 34 sq cm (c) 17 sq cm (d) 52 sq cm
  21. 21.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 144 sq cm (b) 52 sq cm (c) 26 sq cm (d) 162 sq cm
  22. 22.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 13 cm (c) 198 cm (d) 12 cm
  23. 23.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 4 cm (c) 2 cm (d) 3 cm
  24. 24.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 88 cm (c) 10 cm (d) 9 cm
  25. 25.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 4 cm (c) 20 cm (d) 3 cm
  26. 26.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 171 cm
  27. 27.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 64 sq cm (c) 30 sq cm (d) 56 sq cm
  28. 28.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 20 cm (c) 11 cm (d) 10 cm
  29. 29.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 180 sq cm (b) 195 sq cm (c) 27 sq cm (d) 54 sq cm
  30. 30.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 30 cm (b) 200 cm (c) 50 cm (d) 60 cm
  31. 31.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 14 sq cm (c) 28 sq cm (d) 56 sq cm
  32. 32.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 96 cm (c) 9 cm (d) 18 cm
  33. 33.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 9 cm (c) 19 cm (d) 18 cm
  34. 34.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 14 sq cm (c) 18 sq cm (d) 21 sq cm
  35. 35.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 48 cm (c) 28 cm (d) 16 cm
  36. 36.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 49 sq cm (d) 14 sq cm
  37. 37.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 50 sq cm (c) 28 sq cm (d) 40 sq cm
  38. 38.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 10 cm (c) 144 cm (d) 9 cm
  39. 39.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
  40. 40.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 14 cm (c) 48 cm (d) 28 cm

Answer key

  1. 32 cm
  2. 6 cm
  3. 36 cm
  4. 216 sq cm
  5. 54 cm
  6. 10 cm
  7. 64 sq cm
  8. 50 cm
  9. 81 sq cm
  10. 4 cm
  11. 18 cm
  12. 60 sq cm
  13. 9 cm
  14. 8 cm
  15. 12 cm
  16. 18 sq cm
  17. 9 cm
  18. 169 sq cm
  19. 65 sq cm
  20. 52 sq cm
  21. 144 sq cm
  22. 12 cm
  23. 2 cm
  24. 9 cm
  25. 3 cm
  26. 10 cm
  27. 56 sq cm
  28. 10 cm
  29. 180 sq cm
  30. 60 cm
  31. 48 sq cm
  32. 9 cm
  33. 18 cm
  34. 14 sq cm
  35. 32 cm
  36. 49 sq cm
  37. 40 sq cm
  38. 9 cm
  39. 144 sq cm
  40. 28 cm

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