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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 370 · 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 56 sq cm and a length of 14 cm. What is its width? (a) 42 cm (b) 5 cm (c) 4 cm (d) 8 cm
  2. 2.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 32 cm (b) 240 cm (c) 64 cm (d) 52 cm
  3. 3.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 180 cm
  4. 4.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 100 sq cm (b) 38 sq cm (c) 90 sq cm (d) 19 sq cm
  5. 5.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 21 cm (b) 35 cm (c) 42 cm (d) 98 cm
  6. 6.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 165 cm
  7. 7.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 45 sq cm (c) 13 sq cm (d) 26 sq cm
  8. 8.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 14 sq cm (d) 48 sq cm
  9. 9.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) 77 cm (d) 16 cm
  10. 10.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 20 cm (b) 96 cm (c) 32 cm (d) 40 cm
  11. 11.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 99 cm
  12. 12.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 42 cm (d) 20 cm
  13. 13.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 64 sq cm (c) 38 sq cm (d) 48 sq cm
  14. 14.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 5 cm (c) 51 cm (d) 4 cm
  15. 15.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 26 sq cm (d) 196 sq cm
  16. 16.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 76 cm
  17. 17.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 60 cm
  18. 18.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 8 cm (b) 15 cm (c) 5 cm (d) 4 cm
  19. 19.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 20 cm (b) 11 cm (c) 153 cm (d) 10 cm
  20. 20.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 140 sq cm (d) 154 sq cm
  21. 21.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 16 sq cm (d) 32 sq cm
  22. 22.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 8 cm (c) 112 cm (d) 9 cm
  23. 23.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 10 sq cm (d) 36 sq cm
  24. 24.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 28 sq cm (d) 21 sq cm
  25. 25.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 54 sq cm (b) 152 sq cm (c) 27 sq cm (d) 171 sq cm
  26. 26.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 180 cm (b) 28 cm (c) 46 cm (d) 56 cm
  27. 27.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 56 cm
  28. 28.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 162 sq cm (c) 27 sq cm (d) 54 sq cm
  29. 29.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 35 cm (d) 19 cm
  30. 30.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 14 cm (b) 78 cm (c) 8 cm (d) 7 cm
  31. 31.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 38 cm (d) 156 cm
  32. 32.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 18 cm (b) 31 cm (c) 65 cm (d) 36 cm
  33. 33.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 108 cm
  34. 34.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 56 sq cm (c) 34 sq cm (d) 42 sq cm
  35. 35.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 27 cm (b) 16 cm (c) 55 cm (d) 32 cm
  36. 36.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 11 cm (d) 19 cm
  37. 37.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 44 cm (b) 10 cm (c) 5 cm (d) 6 cm
  38. 38.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 38 cm (b) 48 cm (c) 24 cm (d) 140 cm
  39. 39.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 187 sq cm (b) 54 sq cm (c) 170 sq cm (d) 27 sq cm
  40. 40.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

Answer key

  1. 4 cm
  2. 64 cm
  3. 10 cm
  4. 90 sq cm
  5. 42 cm
  6. 12 cm
  7. 36 sq cm
  8. 48 sq cm
  9. 8 cm
  10. 40 cm
  11. 10 cm
  12. 26 cm
  13. 48 sq cm
  14. 4 cm
  15. 169 sq cm
  16. 5 cm
  17. 7 cm
  18. 4 cm
  19. 10 cm
  20. 140 sq cm
  21. 64 sq cm
  22. 8 cm
  23. 25 sq cm
  24. 21 sq cm
  25. 152 sq cm
  26. 56 cm
  27. 5 cm
  28. 162 sq cm
  29. 24 cm
  30. 7 cm
  31. 50 cm
  32. 36 cm
  33. 10 cm
  34. 42 sq cm
  35. 32 cm
  36. 22 cm
  37. 5 cm
  38. 48 cm
  39. 170 sq cm
  40. 144 sq cm

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