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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 766 · 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 square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 48 sq cm (d) 169 sq cm
  2. 2.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 48 sq cm (d) 56 sq cm
  3. 3.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 2 cm (b) 7 cm (c) 3 cm (d) 4 cm
  4. 4.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 18 cm (b) 10 cm (c) 128 cm (d) 9 cm
  5. 5.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 30 cm (d) 88 cm
  6. 6.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 30 sq cm (c) 36 sq cm (d) 22 sq cm
  7. 7.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 7 cm (b) 8 cm (c) 108 cm (d) 14 cm
  8. 8.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 25 cm (b) 40 cm (c) 50 cm (d) 150 cm
  9. 9.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 119 sq cm (d) 136 sq cm
  10. 10.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 190 cm (b) 48 cm (c) 29 cm (d) 58 cm
  11. 11.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 16 sq cm (b) 39 sq cm (c) 52 sq cm (d) 32 sq cm
  12. 12.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 96 cm (b) 38 cm (c) 44 cm (d) 22 cm
  13. 13.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
  14. 14.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
  15. 15.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 49 sq cm (d) 28 sq cm
  16. 16.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 13 cm (c) 24 cm (d) 12 cm
  17. 17.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 28 sq cm (d) 196 sq cm
  18. 18.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 26 sq cm (d) 196 sq cm
  19. 19.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 180 sq cm (b) 54 sq cm (c) 27 sq cm (d) 195 sq cm
  20. 20.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
  21. 21.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 20 cm (c) 153 cm (d) 10 cm
  22. 22.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
  23. 23.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 22 cm (c) 11 cm (d) 17 cm
  24. 24.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 50 sq cm (c) 60 sq cm (d) 15 sq cm
  25. 25.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 90 sq cm (c) 36 sq cm (d) 18 sq cm
  26. 26.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 25 sq cm (b) 120 sq cm (c) 50 sq cm (d) 100 sq cm
  27. 27.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 44 sq cm (b) 120 sq cm (c) 22 sq cm (d) 105 sq cm
  28. 28.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 121 sq cm (d) 100 sq cm
  29. 29.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 112 sq cm (d) 98 sq cm
  30. 30.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 15 cm (c) 18 cm (d) 9 cm
  31. 31.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 12 cm (c) 24 cm (d) 13 cm
  32. 32.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 144 sq cm (d) 126 sq cm
  33. 33.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 sq cm
  34. 34.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 42 cm (b) 33 cm (c) 21 cm (d) 108 cm
  35. 35.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 15 cm (b) 4 cm (c) 5 cm (d) 8 cm
  36. 36.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 21 sq cm (c) 14 sq cm (d) 9 sq cm
  37. 37.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 46 sq cm (b) 130 sq cm (c) 23 sq cm (d) 143 sq cm
  38. 38.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 152 sq cm (b) 171 sq cm (c) 54 sq cm (d) 27 sq cm
  39. 39.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 29 cm (d) 90 cm
  40. 40.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 26 sq cm (b) 30 sq cm (c) 40 sq cm (d) 13 sq cm

Answer key

  1. 144 sq cm
  2. 48 sq cm
  3. 2 cm
  4. 9 cm
  5. 38 cm
  6. 30 sq cm
  7. 7 cm
  8. 50 cm
  9. 119 sq cm
  10. 58 cm
  11. 39 sq cm
  12. 44 cm
  13. 25 sq cm
  14. 28 cm
  15. 49 sq cm
  16. 12 cm
  17. 196 sq cm
  18. 169 sq cm
  19. 180 sq cm
  20. 64 sq cm
  21. 10 cm
  22. 36 sq cm
  23. 22 cm
  24. 50 sq cm
  25. 80 sq cm
  26. 100 sq cm
  27. 105 sq cm
  28. 100 sq cm
  29. 98 sq cm
  30. 18 cm
  31. 12 cm
  32. 126 sq cm
  33. 121 sq cm
  34. 42 cm
  35. 4 cm
  36. 14 sq cm
  37. 130 sq cm
  38. 152 sq cm
  39. 38 cm
  40. 30 sq cm

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