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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 876 · 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 14 cm long and 5 cm wide. What is its area? (a) 70 sq cm (b) 84 sq cm (c) 19 sq cm (d) 38 sq cm
  2. 2.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 35 cm (b) 98 cm (c) 42 cm (d) 21 cm
  3. 3.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 12 cm (c) 13 cm (d) 24 cm
  4. 4.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 18 cm (c) 80 cm (d) 36 cm
  5. 5.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 56 cm (b) 10 cm (c) 6 cm (d) 5 cm
  6. 6.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 24 cm (b) 220 cm (c) 13 cm (d) 12 cm
  7. 7.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 32 sq cm (d) 64 sq cm
  8. 8.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 32 sq cm (d) 48 sq cm
  9. 9.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 60 cm (b) 23 cm (c) 46 cm (d) 43 cm
  10. 10.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
  11. 11.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
  12. 12.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 30 cm (b) 50 cm (c) 60 cm (d) 200 cm
  13. 13.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 80 cm (c) 9 cm (d) 18 cm
  14. 14.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 50 sq cm (b) 126 sq cm (c) 144 sq cm (d) 25 sq cm
  15. 15.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 140 cm
  16. 16.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
  17. 17.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 14 sq cm (d) 48 sq cm
  18. 18.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 14 cm (c) 6 cm (d) 4 cm
  19. 19.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 60 cm (b) 8 cm (c) 5 cm (d) 4 cm
  20. 20.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 8 cm
  21. 21.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
  22. 22.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 2 cm (c) 4 cm (d) 3 cm
  23. 23.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 120 cm (d) 34 cm
  24. 24.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
  25. 25.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 5 cm (c) 52 cm (d) 10 cm
  26. 26.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 99 sq cm (d) 88 sq cm
  27. 27.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 64 sq cm (d) 48 sq cm
  28. 28.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) 6 cm (d) 5 cm
  29. 29.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 20 sq cm (d) 121 sq cm
  30. 30.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 108 cm (b) 33 cm (c) 21 cm (d) 42 cm
  31. 31.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 17 sq cm (c) 34 sq cm (d) 70 sq cm
  32. 32.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 10 cm (b) 32 cm (c) 5 cm (d) 6 cm
  33. 33.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 15 cm (c) 9 cm (d) 18 cm
  34. 34.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 19 cm (c) 24 cm (d) 35 cm
  35. 35.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 18 cm (b) 10 cm (c) 152 cm (d) 9 cm
  36. 36.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 4 cm (c) 2 cm (d) 3 cm
  37. 37.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 2 cm (c) 3 cm (d) 4 cm
  38. 38.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
  39. 39.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 6 cm (c) 38 cm (d) 3 cm
  40. 40.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 60 cm

Answer key

  1. 70 sq cm
  2. 42 cm
  3. 12 cm
  4. 36 cm
  5. 5 cm
  6. 12 cm
  7. 64 sq cm
  8. 32 sq cm
  9. 46 cm
  10. 49 sq cm
  11. 7 cm
  12. 60 cm
  13. 9 cm
  14. 126 sq cm
  15. 8 cm
  16. 196 sq cm
  17. 48 sq cm
  18. 3 cm
  19. 4 cm
  20. 2 cm
  21. 36 sq cm
  22. 2 cm
  23. 44 cm
  24. 25 sq cm
  25. 5 cm
  26. 88 sq cm
  27. 48 sq cm
  28. 5 cm
  29. 100 sq cm
  30. 42 cm
  31. 70 sq cm
  32. 5 cm
  33. 18 cm
  34. 24 cm
  35. 9 cm
  36. 2 cm
  37. 2 cm
  38. 81 sq cm
  39. 3 cm
  40. 6 cm

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