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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 161 · 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 7 cm wide. What is its area? (a) 48 sq cm (b) 119 sq cm (c) 24 sq cm (d) 136 sq cm
  2. 2.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
  3. 3.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 16 sq cm (c) 32 sq cm (d) 60 sq cm
  4. 4.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 256 sq cm (d) 60 sq cm
  5. 5.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 32 sq cm (d) 81 sq cm
  6. 6.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 154 cm (b) 25 cm (c) 39 cm (d) 50 cm
  7. 7.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 144 sq cm (d) 22 sq cm
  8. 8.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 13 cm (c) 26 cm (d) 22 cm
  9. 9.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
  10. 10.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 100 sq cm (d) 36 sq cm
  11. 11.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 2 cm (c) 15 cm (d) 3 cm
  12. 12.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 88 cm (c) 19 cm (d) 30 cm
  13. 13.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 14 cm (c) 24 cm (d) 28 cm
  14. 14.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 65 sq cm (d) 78 sq cm
  15. 15.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 14 cm (b) 84 cm (c) 8 cm (d) 7 cm
  16. 16.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 153 cm
  17. 17.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 187 sq cm (b) 170 sq cm (c) 27 sq cm (d) 54 sq cm
  18. 18.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 77 sq cm (b) 36 sq cm (c) 88 sq cm (d) 18 sq cm
  19. 19.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 160 sq cm (d) 144 sq cm
  20. 20.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 39 cm (b) 135 cm (c) 48 cm (d) 24 cm
  21. 21.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) 10 cm (d) 128 cm
  22. 22.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 24 sq cm (d) 48 sq cm
  23. 23.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 20 cm (c) 12 cm (d) 24 cm
  24. 24.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 120 cm
  25. 25.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 17 cm (d) 30 cm
  26. 26.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 7 cm (c) 48 cm (d) 14 cm
  27. 27.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 48 cm (d) 22 cm
  28. 28.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 5 cm (b) 18 cm (c) 4 cm (d) 8 cm
  29. 29.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 180 cm (b) 10 cm (c) 11 cm (d) 20 cm
  30. 30.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 46 cm (b) 29 cm (c) 204 cm (d) 58 cm
  31. 31.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 171 sq cm (b) 28 sq cm (c) 190 sq cm (d) 56 sq cm
  32. 32.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 11 cm (c) 20 cm (d) 10 cm
  33. 33.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 38 cm (c) 34 cm (d) 19 cm
  34. 34.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 21 cm (c) 68 cm (d) 42 cm
  35. 35.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
  36. 36.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 56 cm (b) 180 cm (c) 28 cm (d) 46 cm
  37. 37.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 49 sq cm
  38. 38.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 14 sq cm (c) 45 sq cm (d) 28 sq cm
  39. 39.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 28 sq cm (d) 56 sq cm
  40. 40.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 196 sq cm (d) 52 sq cm

Answer key

  1. 119 sq cm
  2. 4 cm
  3. 60 sq cm
  4. 225 sq cm
  5. 64 sq cm
  6. 50 cm
  7. 121 sq cm
  8. 26 cm
  9. 100 sq cm
  10. 81 sq cm
  11. 2 cm
  12. 38 cm
  13. 28 cm
  14. 65 sq cm
  15. 7 cm
  16. 10 cm
  17. 170 sq cm
  18. 77 sq cm
  19. 144 sq cm
  20. 48 cm
  21. 9 cm
  22. 144 sq cm
  23. 24 cm
  24. 7 cm
  25. 22 cm
  26. 7 cm
  27. 28 cm
  28. 4 cm
  29. 10 cm
  30. 58 cm
  31. 171 sq cm
  32. 10 cm
  33. 38 cm
  34. 42 cm
  35. 25 sq cm
  36. 56 cm
  37. 36 sq cm
  38. 45 sq cm
  39. 196 sq cm
  40. 169 sq cm

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