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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 41 · 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 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 16 sq cm (c) 10 sq cm (d) 24 sq cm
  2. 2.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 22 cm (b) 140 cm (c) 11 cm (d) 12 cm
  3. 3.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 40 sq cm (d) 20 sq cm
  4. 4.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 28 cm (b) 44 cm (c) 56 cm (d) 192 cm
  5. 5.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 42 cm (b) 21 cm (c) 33 cm (d) 108 cm
  6. 6.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 40 cm (c) 14 cm (d) 28 cm
  7. 7.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
  8. 8.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 25 sq cm (d) 36 sq cm
  9. 9.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 12 cm (c) 8 cm (d) 16 cm
  10. 10.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 16 cm (b) 126 cm (c) 8 cm (d) 9 cm
  11. 11.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 132 sq cm (b) 120 sq cm (c) 22 sq cm (d) 44 sq cm
  12. 12.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 80 cm
  13. 13.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 36 sq cm (d) 100 sq cm
  14. 14.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 24 cm (b) 3 cm (c) 4 cm (d) 6 cm
  15. 15.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 17 sq cm (c) 34 sq cm (d) 72 sq cm
  16. 16.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 171 cm (c) 20 cm (d) 11 cm
  17. 17.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 24 sq cm (b) 135 sq cm (c) 150 sq cm (d) 48 sq cm
  18. 18.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 28 sq cm (c) 22 sq cm (d) 11 sq cm
  19. 19.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 28 sq cm (c) 14 sq cm (d) 56 sq cm
  20. 20.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 170 sq cm (d) 153 sq cm
  21. 21.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 32 sq cm (c) 22 sq cm (d) 24 sq cm
  22. 22.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 56 sq cm (d) 225 sq cm
  23. 23.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
  24. 24.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
  25. 25.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 228 cm (c) 31 cm (d) 62 cm
  26. 26.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 27 cm
  27. 27.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 40 cm (b) 10 cm (c) 5 cm (d) 6 cm
  28. 28.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 176 cm
  29. 29.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 108 sq cm (b) 23 sq cm (c) 46 sq cm (d) 90 sq cm
  30. 30.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 26 cm (c) 34 cm (d) 72 cm
  31. 31.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 60 cm (b) 14 cm (c) 8 cm (d) 7 cm
  32. 32.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 43 cm (b) 23 cm (c) 46 cm (d) 60 cm
  33. 33.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 57 cm
  34. 34.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 3 cm (b) 1 cm (c) 2 cm (d) 4 cm
  35. 35.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
  36. 36.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 5 cm (c) 60 cm (d) 8 cm
  37. 37.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 64 sq cm (d) 32 sq cm
  38. 38.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 34 cm (b) 6 cm (c) 3 cm (d) 4 cm
  39. 39.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 62 cm (b) 31 cm (c) 220 cm (d) 51 cm
  40. 40.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 42 cm (b) 34 cm (c) 104 cm (d) 21 cm

Answer key

  1. 16 sq cm
  2. 11 cm
  3. 100 sq cm
  4. 56 cm
  5. 42 cm
  6. 28 cm
  7. 3 cm
  8. 25 sq cm
  9. 16 cm
  10. 8 cm
  11. 120 sq cm
  12. 5 cm
  13. 81 sq cm
  14. 3 cm
  15. 72 sq cm
  16. 10 cm
  17. 135 sq cm
  18. 28 sq cm
  19. 48 sq cm
  20. 153 sq cm
  21. 24 sq cm
  22. 196 sq cm
  23. 36 sq cm
  24. 3 cm
  25. 62 cm
  26. 4 cm
  27. 5 cm
  28. 12 cm
  29. 90 sq cm
  30. 34 cm
  31. 7 cm
  32. 46 cm
  33. 4 cm
  34. 2 cm
  35. 169 sq cm
  36. 4 cm
  37. 64 sq cm
  38. 3 cm
  39. 62 cm
  40. 42 cm

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