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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 664 · 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 8 cm wide. What is its area? (a) 17 sq cm (b) 81 sq cm (c) 72 sq cm (d) 34 sq cm
  2. 2.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 16 cm (b) 60 cm (c) 32 cm (d) 26 cm
  3. 3.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 120 cm (c) 46 cm (d) 23 cm
  4. 4.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 80 cm (c) 18 cm (d) 36 cm
  5. 5.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 16 sq cm (d) 81 sq cm
  6. 6.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 19 cm (c) 3 cm (d) 2 cm
  7. 7.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 144 sq cm (d) 24 sq cm
  8. 8.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 20 cm (d) 42 cm
  9. 9.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 36 sq cm (c) 26 sq cm (d) 13 sq cm
  10. 10.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 10 cm (c) 52 cm (d) 5 cm
  11. 11.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 10 sq cm (d) 20 sq cm
  12. 12.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 63 cm (b) 8 cm (c) 16 cm (d) 9 cm
  13. 13.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 40 sq cm (c) 12 sq cm (d) 24 sq cm
  14. 14.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 117 sq cm (d) 104 sq cm
  15. 15.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
  16. 16.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 10 cm (b) 5 cm (c) 32 cm (d) 6 cm
  17. 17.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 144 sq cm (d) 44 sq cm
  18. 18.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 45 cm (c) 6 cm (d) 12 cm
  19. 19.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
  20. 20.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 10 cm (c) 16 cm (d) 20 cm
  21. 21.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 49 sq cm (d) 12 sq cm
  22. 22.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 80 sq cm (c) 40 sq cm (d) 64 sq cm
  23. 23.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 96 sq cm (b) 38 sq cm (c) 84 sq cm (d) 19 sq cm
  24. 24.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 100 sq cm (d) 40 sq cm
  25. 25.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 27 cm
  26. 26.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 209 cm
  27. 27.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 33 sq cm (c) 28 sq cm (d) 14 sq cm
  28. 28.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 13 cm (c) 12 cm (d) 24 cm
  29. 29.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 22 sq cm (c) 28 sq cm (d) 11 sq cm
  30. 30.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 50 sq cm (d) 15 sq cm
  31. 31.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 96 cm
  32. 32.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
  33. 33.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 58 sq cm (b) 29 sq cm (c) 209 sq cm (d) 190 sq cm
  34. 34.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 18 cm (b) 112 cm (c) 10 cm (d) 9 cm
  35. 35.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 105 cm
  36. 36.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 24 sq cm (b) 119 sq cm (c) 48 sq cm (d) 136 sq cm
  37. 37.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 18 sq cm (c) 22 sq cm (d) 27 sq cm
  38. 38.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
  39. 39.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 120 sq cm (b) 23 sq cm (c) 46 sq cm (d) 135 sq cm
  40. 40.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 110 sq cm (b) 40 sq cm (c) 20 sq cm (d) 99 sq cm

Answer key

  1. 72 sq cm
  2. 32 cm
  3. 46 cm
  4. 36 cm
  5. 64 sq cm
  6. 2 cm
  7. 144 sq cm
  8. 26 cm
  9. 36 sq cm
  10. 5 cm
  11. 25 sq cm
  12. 8 cm
  13. 32 sq cm
  14. 104 sq cm
  15. 27 sq cm
  16. 5 cm
  17. 121 sq cm
  18. 6 cm
  19. 196 sq cm
  20. 20 cm
  21. 36 sq cm
  22. 64 sq cm
  23. 84 sq cm
  24. 100 sq cm
  25. 4 cm
  26. 12 cm
  27. 33 sq cm
  28. 12 cm
  29. 28 sq cm
  30. 50 sq cm
  31. 7 cm
  32. 81 sq cm
  33. 190 sq cm
  34. 9 cm
  35. 8 cm
  36. 119 sq cm
  37. 18 sq cm
  38. 169 sq cm
  39. 120 sq cm
  40. 99 sq cm

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