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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 502 · 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 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 90 sq cm (d) 100 sq cm
  2. 2.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 21 sq cm (b) 117 sq cm (c) 104 sq cm (d) 42 sq cm
  3. 3.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 30 sq cm (c) 11 sq cm (d) 22 sq cm
  4. 4.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 26 cm (c) 21 cm (d) 13 cm
  5. 5.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
  6. 6.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 39 cm (c) 4 cm (d) 5 cm
  7. 7.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 5 cm (b) 4 cm (c) 33 cm (d) 8 cm
  8. 8.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 28 cm (c) 32 cm (d) 48 cm
  9. 9.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 7 cm (c) 90 cm (d) 6 cm
  10. 10.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 18 sq cm (c) 16 sq cm (d) 12 sq cm
  11. 11.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 20 sq cm (d) 40 sq cm
  12. 12.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
  13. 13.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 5 cm (c) 2 cm (d) 4 cm
  14. 14.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 60 sq cm (c) 16 sq cm (d) 32 sq cm
  15. 15.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 84 cm
  16. 16.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 22 sq cm (d) 44 sq cm
  17. 17.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
  18. 18.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 30 cm (c) 19 cm (d) 88 cm
  19. 19.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 2 cm (b) 20 cm (c) 3 cm (d) 4 cm
  20. 20.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 16 cm (b) 98 cm (c) 9 cm (d) 8 cm
  21. 21.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 32 sq cm (b) 260 sq cm (c) 64 sq cm (d) 240 sq cm
  22. 22.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 119 sq cm (b) 102 sq cm (c) 23 sq cm (d) 46 sq cm
  23. 23.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 144 cm (c) 52 cm (d) 44 cm
  24. 24.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 20 sq cm (d) 12 sq cm
  25. 25.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 117 cm
  26. 26.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) 4 cm (d) 16 cm
  27. 27.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
  28. 28.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 12 cm (c) 160 cm (d) 11 cm
  29. 29.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 170 cm (b) 12 cm (c) 22 cm (d) 11 cm
  30. 30.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 7 cm (c) 95 cm (d) 6 cm
  31. 31.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 33 cm (b) 21 cm (c) 108 cm (d) 42 cm
  32. 32.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 9 cm (c) 15 cm (d) 18 cm
  33. 33.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 88 cm (b) 18 cm (c) 10 cm (d) 9 cm
  34. 34.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
  35. 35.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
  36. 36.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 22 cm (c) 12 cm (d) 11 cm
  37. 37.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 13 cm (b) 23 cm (c) 26 cm (d) 30 cm
  38. 38.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 176 cm (b) 54 cm (c) 27 cm (d) 43 cm
  39. 39.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 26 sq cm (b) 165 sq cm (c) 52 sq cm (d) 180 sq cm
  40. 40.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 95 cm (d) 43 cm

Answer key

  1. 90 sq cm
  2. 104 sq cm
  3. 30 sq cm
  4. 26 cm
  5. 169 sq cm
  6. 4 cm
  7. 4 cm
  8. 32 cm
  9. 6 cm
  10. 12 sq cm
  11. 100 sq cm
  12. 49 sq cm
  13. 2 cm
  14. 48 sq cm
  15. 7 cm
  16. 121 sq cm
  17. 225 sq cm
  18. 38 cm
  19. 2 cm
  20. 8 cm
  21. 240 sq cm
  22. 102 sq cm
  23. 52 cm
  24. 20 sq cm
  25. 10 cm
  26. 2 cm
  27. 25 sq cm
  28. 11 cm
  29. 11 cm
  30. 6 cm
  31. 42 cm
  32. 18 cm
  33. 9 cm
  34. 64 sq cm
  35. 4 cm
  36. 11 cm
  37. 26 cm
  38. 54 cm
  39. 165 sq cm
  40. 48 cm

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