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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 102 · 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 has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 24 cm (c) 13 cm (d) 12 cm
  2. 2.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 22 sq cm (c) 11 sq cm (d) 35 sq cm
  3. 3.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 38 cm (b) 90 cm (c) 29 cm (d) 19 cm
  4. 4.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 21 sq cm (d) 14 sq cm
  5. 5.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 34 sq cm (c) 17 sq cm (d) 45 sq cm
  6. 6.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
  7. 7.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 108 cm (b) 14 cm (c) 8 cm (d) 7 cm
  8. 8.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 105 cm
  9. 9.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 18 cm (c) 11 cm (d) 22 cm
  10. 10.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 169 sq cm (d) 48 sq cm
  11. 11.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 75 cm
  12. 12.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 112 sq cm (d) 128 sq cm
  13. 13.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
  14. 14.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 45 cm (b) 162 cm (c) 54 cm (d) 27 cm
  15. 15.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 40 cm (c) 75 cm (d) 20 cm
  16. 16.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 45 sq cm (d) 60 sq cm
  17. 17.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 21 cm (c) 42 cm (d) 68 cm
  18. 18.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
  19. 19.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 133 cm (b) 26 cm (c) 52 cm (d) 45 cm
  20. 20.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
  21. 21.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 14 cm
  22. 22.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
  23. 23.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
  24. 24.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 20 sq cm (b) 75 sq cm (c) 40 sq cm (d) 90 sq cm
  25. 25.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 26 cm (b) 40 cm (c) 52 cm (d) 168 cm
  26. 26.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 18 cm (c) 32 cm (d) 36 cm
  27. 27.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 63 cm (c) 16 cm (d) 8 cm
  28. 28.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 2 cm (b) 17 cm (c) 4 cm (d) 3 cm
  29. 29.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 170 cm
  30. 30.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 18 cm
  31. 31.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
  32. 32.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 13 cm (c) 12 cm (d) 24 cm
  33. 33.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 28 cm (c) 32 cm (d) 16 cm
  34. 34.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 13 sq cm (c) 26 sq cm (d) 48 sq cm
  35. 35.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 40 sq cm (d) 20 sq cm
  36. 36.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 22 cm (c) 24 cm (d) 11 cm
  37. 37.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 121 sq cm (d) 110 sq cm
  38. 38.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 130 cm (c) 11 cm (d) 22 cm
  39. 39.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 56 sq cm (b) 192 sq cm (c) 28 sq cm (d) 208 sq cm
  40. 40.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 64 cm (b) 20 cm (c) 36 cm (d) 40 cm

Answer key

  1. 12 cm
  2. 28 sq cm
  3. 38 cm
  4. 14 sq cm
  5. 30 sq cm
  6. 36 sq cm
  7. 7 cm
  8. 8 cm
  9. 22 cm
  10. 144 sq cm
  11. 6 cm
  12. 112 sq cm
  13. 196 sq cm
  14. 54 cm
  15. 40 cm
  16. 45 sq cm
  17. 42 cm
  18. 49 sq cm
  19. 52 cm
  20. 64 sq cm
  21. 2 cm
  22. 25 sq cm
  23. 169 sq cm
  24. 75 sq cm
  25. 52 cm
  26. 36 cm
  27. 8 cm
  28. 2 cm
  29. 11 cm
  30. 4 cm
  31. 225 sq cm
  32. 12 cm
  33. 32 cm
  34. 40 sq cm
  35. 100 sq cm
  36. 22 cm
  37. 110 sq cm
  38. 11 cm
  39. 192 sq cm
  40. 40 cm

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