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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 626 · 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 11 cm wide. What is its perimeter? (a) 56 cm (b) 187 cm (c) 45 cm (d) 28 cm
  2. 2.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 28 sq cm (b) 180 sq cm (c) 56 sq cm (d) 160 sq cm
  3. 3.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 112 cm
  4. 4.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 209 sq cm (d) 228 sq cm
  5. 5.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 126 cm (b) 10 cm (c) 20 cm (d) 11 cm
  6. 6.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 46 sq cm (b) 135 sq cm (c) 120 sq cm (d) 23 sq cm
  7. 7.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 19 cm (c) 38 cm (d) 60 cm
  8. 8.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 48 cm (b) 28 cm (c) 14 cm (d) 22 cm
  9. 9.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 15 cm (b) 44 cm (c) 30 cm (d) 26 cm
  10. 10.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 105 cm
  11. 11.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 14 cm (b) 4 cm (c) 6 cm (d) 3 cm
  12. 12.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 77 cm
  13. 13.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 33 sq cm (b) 14 sq cm (c) 44 sq cm (d) 28 sq cm
  14. 14.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 11 sq cm (c) 32 sq cm (d) 22 sq cm
  15. 15.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 50 sq cm (d) 40 sq cm
  16. 16.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 81 sq cm (d) 18 sq cm
  17. 17.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 136 sq cm (c) 24 sq cm (d) 119 sq cm
  18. 18.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 39 cm (b) 50 cm (c) 25 cm (d) 154 cm
  19. 19.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 10 sq cm (d) 20 sq cm
  20. 20.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 112 cm
  21. 21.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 56 sq cm (d) 28 sq cm
  22. 22.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
  23. 23.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 32 sq cm (c) 16 sq cm (d) 60 sq cm
  24. 24.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 18 cm (d) 20 cm
  25. 25.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 144 sq cm (b) 50 sq cm (c) 160 sq cm (d) 25 sq cm
  26. 26.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 176 cm (b) 43 cm (c) 54 cm (d) 27 cm
  27. 27.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 26 cm (b) 43 cm (c) 153 cm (d) 52 cm
  28. 28.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 56 cm (b) 28 cm (c) 47 cm (d) 171 cm
  29. 29.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 187 sq cm (d) 170 sq cm
  30. 30.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 51 cm (c) 4 cm (d) 8 cm
  31. 31.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 18 cm (b) 29 cm (c) 36 cm (d) 77 cm
  32. 32.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 36 sq cm (c) 15 sq cm (d) 48 sq cm
  33. 33.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
  34. 34.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 39 sq cm (c) 52 sq cm (d) 16 sq cm
  35. 35.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) 14 cm (d) 48 cm
  36. 36.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 32 sq cm (b) 55 sq cm (c) 16 sq cm (d) 66 sq cm
  37. 37.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 144 sq cm (b) 126 sq cm (c) 25 sq cm (d) 50 sq cm
  38. 38.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 40 cm (b) 6 cm (c) 12 cm (d) 7 cm
  39. 39.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 121 sq cm (d) 40 sq cm
  40. 40.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 52 sq cm (b) 65 sq cm (c) 34 sq cm (d) 17 sq cm

Answer key

  1. 56 cm
  2. 160 sq cm
  3. 8 cm
  4. 209 sq cm
  5. 10 cm
  6. 120 sq cm
  7. 38 cm
  8. 28 cm
  9. 30 cm
  10. 8 cm
  11. 3 cm
  12. 8 cm
  13. 33 sq cm
  14. 24 sq cm
  15. 40 sq cm
  16. 81 sq cm
  17. 119 sq cm
  18. 50 cm
  19. 25 sq cm
  20. 9 cm
  21. 196 sq cm
  22. 144 sq cm
  23. 48 sq cm
  24. 22 cm
  25. 144 sq cm
  26. 54 cm
  27. 52 cm
  28. 56 cm
  29. 170 sq cm
  30. 4 cm
  31. 36 cm
  32. 36 sq cm
  33. 36 sq cm
  34. 39 sq cm
  35. 7 cm
  36. 55 sq cm
  37. 126 sq cm
  38. 6 cm
  39. 100 sq cm
  40. 52 sq cm

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