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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 759 · 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 8 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 26 cm (c) 13 cm (d) 40 cm
  2. 2.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 104 cm (b) 18 cm (c) 10 cm (d) 9 cm
  3. 3.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 99 sq cm (b) 20 sq cm (c) 110 sq cm (d) 40 sq cm
  4. 4.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 90 sq cm (b) 36 sq cm (c) 80 sq cm (d) 18 sq cm
  5. 5.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 54 cm (b) 8 cm (c) 5 cm (d) 4 cm
  6. 6.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 21 sq cm (d) 28 sq cm
  7. 7.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 25 cm (c) 63 cm (d) 32 cm
  8. 8.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm
  9. 9.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 13 cm (c) 12 cm (d) 24 cm
  10. 10.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 16 cm (c) 32 cm (d) 60 cm
  11. 11.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 27 cm (b) 54 cm (c) 180 cm (d) 42 cm
  12. 12.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
  13. 13.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 36 sq cm (d) 24 sq cm
  14. 14.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 30 sq cm (c) 15 sq cm (d) 60 sq cm
  15. 15.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 48 sq cm (d) 24 sq cm
  16. 16.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 23 cm (c) 28 cm (d) 14 cm
  17. 17.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 21 sq cm (c) 18 sq cm (d) 14 sq cm
  18. 18.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 45 sq cm (d) 30 sq cm
  19. 19.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 16 sq cm (c) 12 sq cm (d) 8 sq cm
  20. 20.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 45 cm (c) 36 cm (d) 33 cm
  21. 21.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
  22. 22.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 28 cm (b) 6 cm (c) 5 cm (d) 10 cm
  23. 23.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
  24. 24.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 70 cm
  25. 25.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 10 sq cm (c) 24 sq cm (d) 20 sq cm
  26. 26.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 22 cm
  27. 27.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 21 sq cm (b) 112 sq cm (c) 42 sq cm (d) 98 sq cm
  28. 28.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 14 cm (c) 26 cm (d) 28 cm
  29. 29.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 208 sq cm (b) 28 sq cm (c) 56 sq cm (d) 192 sq cm
  30. 30.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
  31. 31.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 98 sq cm (b) 84 sq cm (c) 20 sq cm (d) 40 sq cm
  32. 32.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 170 cm
  33. 33.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 169 sq cm (b) 50 sq cm (c) 25 sq cm (d) 156 sq cm
  34. 34.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 153 sq cm (d) 136 sq cm
  35. 35.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 38 cm (b) 33 cm (c) 70 cm (d) 19 cm
  36. 36.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 17 sq cm (c) 66 sq cm (d) 34 sq cm
  37. 37.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 76 sq cm (d) 57 sq cm
  38. 38.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 44 sq cm (d) 121 sq cm
  39. 39.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) 6 cm (d) 10 cm
  40. 40.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm

Answer key

  1. 26 cm
  2. 9 cm
  3. 99 sq cm
  4. 80 sq cm
  5. 4 cm
  6. 21 sq cm
  7. 32 cm
  8. 100 sq cm
  9. 12 cm
  10. 32 cm
  11. 54 cm
  12. 7 cm
  13. 36 sq cm
  14. 50 sq cm
  15. 144 sq cm
  16. 28 cm
  17. 14 sq cm
  18. 30 sq cm
  19. 12 sq cm
  20. 36 cm
  21. 81 sq cm
  22. 5 cm
  23. 225 sq cm
  24. 8 cm
  25. 24 sq cm
  26. 3 cm
  27. 98 sq cm
  28. 28 cm
  29. 192 sq cm
  30. 64 sq cm
  31. 84 sq cm
  32. 11 cm
  33. 156 sq cm
  34. 136 sq cm
  35. 38 cm
  36. 66 sq cm
  37. 57 sq cm
  38. 121 sq cm
  39. 5 cm
  40. 196 sq cm

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