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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 5 · 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 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 27 sq cm (c) 11 sq cm (d) 18 sq cm
  2. 2.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 168 sq cm (b) 50 sq cm (c) 25 sq cm (d) 154 sq cm
  3. 3.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 14 cm (c) 8 cm (d) 54 cm
  4. 4.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 2 cm (c) 17 cm (d) 4 cm
  5. 5.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 190 sq cm (b) 58 sq cm (c) 209 sq cm (d) 29 sq cm
  6. 6.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 28 sq cm (d) 14 sq cm
  7. 7.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 132 sq cm (c) 46 sq cm (d) 144 sq cm
  8. 8.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
  9. 9.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 27 cm
  10. 10.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 133 sq cm (d) 152 sq cm
  11. 11.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
  12. 12.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  13. 13.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 54 cm (c) 4 cm (d) 8 cm
  14. 14.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 24 cm (d) 20 cm
  15. 15.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 16 cm (c) 32 cm (d) 28 cm
  16. 16.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 91 cm
  17. 17.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 176 cm
  18. 18.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 28 cm (b) 47 cm (c) 56 cm (d) 171 cm
  19. 19.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 26 cm (c) 17 cm (d) 72 cm
  20. 20.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
  21. 21.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 23 cm (b) 130 cm (c) 36 cm (d) 46 cm
  22. 22.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 18 cm (b) 65 cm (c) 31 cm (d) 36 cm
  23. 23.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 68 sq cm (c) 51 sq cm (d) 40 sq cm
  24. 24.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 126 cm
  25. 25.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 10 cm (c) 88 cm (d) 18 cm
  26. 26.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 28 cm (d) 18 cm
  27. 27.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 110 sq cm (b) 99 sq cm (c) 20 sq cm (d) 40 sq cm
  28. 28.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 7 cm (c) 100 cm (d) 12 cm
  29. 29.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 18 cm (b) 77 cm (c) 36 cm (d) 29 cm
  30. 30.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 11 cm (d) 22 cm
  31. 31.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 90 cm
  32. 32.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
  33. 33.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 60 cm (b) 12 cm (c) 7 cm (d) 6 cm
  34. 34.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 22 sq cm (c) 44 sq cm (d) 60 sq cm
  35. 35.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 126 sq cm (c) 108 sq cm (d) 24 sq cm
  36. 36.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 45 cm (b) 162 cm (c) 27 cm (d) 54 cm
  37. 37.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 72 sq cm (b) 21 sq cm (c) 42 sq cm (d) 54 sq cm
  38. 38.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
  39. 39.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 24 cm (d) 40 cm
  40. 40.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 126 cm (b) 11 cm (c) 20 cm (d) 10 cm

Answer key

  1. 18 sq cm
  2. 154 sq cm
  3. 7 cm
  4. 2 cm
  5. 190 sq cm
  6. 49 sq cm
  7. 132 sq cm
  8. 36 sq cm
  9. 4 cm
  10. 133 sq cm
  11. 225 sq cm
  12. 64 sq cm
  13. 4 cm
  14. 20 cm
  15. 32 cm
  16. 8 cm
  17. 12 cm
  18. 56 cm
  19. 34 cm
  20. 196 sq cm
  21. 46 cm
  22. 36 cm
  23. 51 sq cm
  24. 8 cm
  25. 9 cm
  26. 22 cm
  27. 99 sq cm
  28. 6 cm
  29. 36 cm
  30. 22 cm
  31. 6 cm
  32. 144 sq cm
  33. 6 cm
  34. 40 sq cm
  35. 108 sq cm
  36. 54 cm
  37. 54 sq cm
  38. 25 sq cm
  39. 28 cm
  40. 10 cm

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