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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 878 · 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 17 cm long and 10 cm wide. What is its perimeter? (a) 27 cm (b) 44 cm (c) 54 cm (d) 170 cm
  2. 2.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 198 cm (c) 12 cm (d) 24 cm
  3. 3.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 132 sq cm (b) 22 sq cm (c) 120 sq cm (d) 44 sq cm
  4. 4.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 18 sq cm (c) 12 sq cm (d) 8 sq cm
  5. 5.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 40 sq cm (c) 13 sq cm (d) 26 sq cm
  6. 6.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 169 sq cm (d) 48 sq cm
  7. 7.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
  8. 8.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 128 cm (b) 18 cm (c) 9 cm (d) 10 cm
  9. 9.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 30 sq cm (b) 228 sq cm (c) 209 sq cm (d) 60 sq cm
  10. 10.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 30 cm (b) 3 cm (c) 6 cm (d) 4 cm
  11. 11.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
  12. 12.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 42 sq cm (b) 121 sq cm (c) 110 sq cm (d) 21 sq cm
  13. 13.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 34 sq cm (c) 17 sq cm (d) 81 sq cm
  14. 14.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 48 cm (c) 24 cm (d) 108 cm
  15. 15.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 104 cm
  16. 16.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 32 cm (b) 27 cm (c) 55 cm (d) 16 cm
  17. 17.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 56 sq cm (c) 15 sq cm (d) 30 sq cm
  18. 18.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 29 cm (b) 190 cm (c) 48 cm (d) 58 cm
  19. 19.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 44 cm (b) 39 cm (c) 22 cm (d) 85 cm
  20. 20.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 114 sq cm (b) 95 sq cm (c) 24 sq cm (d) 48 sq cm
  21. 21.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 168 sq cm (b) 50 sq cm (c) 25 sq cm (d) 154 sq cm
  22. 22.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 20 sq cm (d) 10 sq cm
  23. 23.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 32 cm (c) 28 cm (d) 16 cm
  24. 24.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 144 sq cm (d) 121 sq cm
  25. 25.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 256 sq cm (d) 30 sq cm
  26. 26.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 35 sq cm (d) 28 sq cm
  27. 27.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 19 cm (c) 9 cm (d) 18 cm
  28. 28.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 12 cm (b) 21 cm (c) 27 cm (d) 24 cm
  29. 29.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 17 cm (c) 22 cm (d) 30 cm
  30. 30.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 144 sq cm (b) 23 sq cm (c) 46 sq cm (d) 132 sq cm
  31. 31.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 43 cm (b) 24 cm (c) 95 cm (d) 48 cm
  32. 32.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 11 sq cm (c) 22 sq cm (d) 30 sq cm
  33. 33.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 20 cm (b) 126 cm (c) 11 cm (d) 10 cm
  34. 34.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 160 sq cm (b) 54 sq cm (c) 27 sq cm (d) 140 sq cm
  35. 35.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 54 cm (b) 180 cm (c) 42 cm (d) 27 cm
  36. 36.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 40 sq cm (b) 91 sq cm (c) 20 sq cm (d) 104 sq cm
  37. 37.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 24 cm (c) 4 cm (d) 3 cm
  38. 38.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 20 cm
  39. 39.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 20 sq cm (c) 10 sq cm (d) 24 sq cm
  40. 40.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 12 cm (c) 143 cm (d) 24 cm

Answer key

  1. 54 cm
  2. 12 cm
  3. 120 sq cm
  4. 12 sq cm
  5. 30 sq cm
  6. 144 sq cm
  7. 169 sq cm
  8. 9 cm
  9. 209 sq cm
  10. 3 cm
  11. 196 sq cm
  12. 110 sq cm
  13. 72 sq cm
  14. 48 cm
  15. 9 cm
  16. 32 cm
  17. 56 sq cm
  18. 58 cm
  19. 44 cm
  20. 95 sq cm
  21. 154 sq cm
  22. 25 sq cm
  23. 32 cm
  24. 121 sq cm
  25. 225 sq cm
  26. 28 sq cm
  27. 18 cm
  28. 24 cm
  29. 22 cm
  30. 132 sq cm
  31. 48 cm
  32. 30 sq cm
  33. 10 cm
  34. 140 sq cm
  35. 54 cm
  36. 91 sq cm
  37. 3 cm
  38. 2 cm
  39. 16 sq cm
  40. 12 cm

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