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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 906 · 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 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 16 cm (c) 8 cm (d) 9 cm
  2. 2.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 19 cm (c) 78 cm (d) 38 cm
  3. 3.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 16 cm (c) 63 cm (d) 8 cm
  4. 4.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
  5. 5.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 35 sq cm (d) 28 sq cm
  6. 6.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 100 sq cm (d) 121 sq cm
  7. 7.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 9 cm (c) 8 cm (d) 16 cm
  8. 8.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 52 sq cm (b) 32 sq cm (c) 16 sq cm (d) 39 sq cm
  9. 9.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 2 cm (c) 4 cm (d) 3 cm
  10. 10.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 81 sq cm (d) 100 sq cm
  11. 11.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 13 cm (b) 24 cm (c) 220 cm (d) 12 cm
  12. 12.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 6 cm (c) 4 cm (d) 3 cm
  13. 13.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 17 cm (c) 10 cm (d) 20 cm
  14. 14.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 190 cm (c) 12 cm (d) 22 cm
  15. 15.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 32 sq cm (d) 81 sq cm
  16. 16.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 114 cm (b) 14 cm (c) 7 cm (d) 8 cm
  17. 17.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 58 sq cm (c) 29 sq cm (d) 200 sq cm
  18. 18.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 20 cm (b) 33 cm (c) 40 cm (d) 91 cm
  19. 19.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 52 cm (b) 6 cm (c) 10 cm (d) 5 cm
  20. 20.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 104 sq cm (b) 21 sq cm (c) 42 sq cm (d) 117 sq cm
  21. 21.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 24 cm (c) 20 cm (d) 16 cm
  22. 22.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 2 cm (b) 1 cm (c) 4 cm (d) 3 cm
  23. 23.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  24. 24.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 42 sq cm (b) 85 sq cm (c) 21 sq cm (d) 68 sq cm
  25. 25.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 6 cm
  26. 26.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 20 sq cm (d) 10 sq cm
  27. 27.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 60 sq cm (b) 200 sq cm (c) 220 sq cm (d) 30 sq cm
  28. 28.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 18 cm (c) 36 cm (d) 33 cm
  29. 29.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 19 cm (c) 18 cm (d) 9 cm
  30. 30.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
  31. 31.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 121 sq cm (d) 44 sq cm
  32. 32.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 29 cm (b) 198 cm (c) 58 cm (d) 47 cm
  33. 33.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 12 cm
  34. 34.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 160 cm (b) 10 cm (c) 18 cm (d) 9 cm
  35. 35.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 24 sq cm (d) 19 sq cm
  36. 36.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 24 cm (b) 154 cm (c) 13 cm (d) 12 cm
  37. 37.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 120 sq cm (c) 100 sq cm (d) 25 sq cm
  38. 38.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 216 sq cm (b) 30 sq cm (c) 60 sq cm (d) 234 sq cm
  39. 39.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 3 cm (b) 2 cm (c) 16 cm (d) 4 cm
  40. 40.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 36 cm (c) 10 cm (d) 6 cm

Answer key

  1. 8 cm
  2. 38 cm
  3. 8 cm
  4. 169 sq cm
  5. 28 sq cm
  6. 100 sq cm
  7. 8 cm
  8. 39 sq cm
  9. 2 cm
  10. 81 sq cm
  11. 12 cm
  12. 3 cm
  13. 20 cm
  14. 11 cm
  15. 64 sq cm
  16. 7 cm
  17. 180 sq cm
  18. 40 cm
  19. 5 cm
  20. 104 sq cm
  21. 20 cm
  22. 2 cm
  23. 49 sq cm
  24. 68 sq cm
  25. 2 cm
  26. 25 sq cm
  27. 200 sq cm
  28. 36 cm
  29. 18 cm
  30. 36 sq cm
  31. 121 sq cm
  32. 58 cm
  33. 3 cm
  34. 9 cm
  35. 18 sq cm
  36. 12 cm
  37. 100 sq cm
  38. 216 sq cm
  39. 2 cm
  40. 5 cm

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