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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 706 · 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 20 cm long and 12 cm wide. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 260 sq cm (d) 240 sq cm
  2. 2.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 16 cm (b) 91 cm (c) 8 cm (d) 9 cm
  3. 3.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 75 cm (c) 12 cm (d) 6 cm
  4. 4.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 117 cm (c) 20 cm (d) 10 cm
  5. 5.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
  6. 6.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 24 cm (c) 10 cm (d) 16 cm
  7. 7.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 48 cm (b) 28 cm (c) 22 cm (d) 14 cm
  8. 8.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
  9. 9.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 56 cm (c) 23 cm (d) 30 cm
  10. 10.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 196 sq cm (d) 169 sq cm
  11. 11.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 190 sq cm (b) 28 sq cm (c) 56 sq cm (d) 171 sq cm
  12. 12.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 5 cm (b) 24 cm (c) 6 cm (d) 10 cm
  13. 13.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 153 sq cm (b) 50 sq cm (c) 25 sq cm (d) 136 sq cm
  14. 14.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 46 sq cm (b) 90 sq cm (c) 23 sq cm (d) 108 sq cm
  15. 15.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 96 cm (c) 7 cm (d) 14 cm
  16. 16.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 30 cm (b) 216 cm (c) 60 cm (d) 48 cm
  17. 17.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 20 cm (b) 162 cm (c) 11 cm (d) 10 cm
  18. 18.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 50 cm (b) 30 cm (c) 60 cm (d) 200 cm
  19. 19.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 18 sq cm (b) 70 sq cm (c) 36 sq cm (d) 56 sq cm
  20. 20.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 20 cm (b) 32 cm (c) 40 cm (d) 96 cm
  21. 21.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 49 sq cm (d) 28 sq cm
  22. 22.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 160 sq cm (b) 27 sq cm (c) 54 sq cm (d) 140 sq cm
  23. 23.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 20 cm (c) 26 cm (d) 42 cm
  24. 24.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
  25. 25.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 144 sq cm (d) 44 sq cm
  26. 26.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 54 sq cm (c) 42 sq cm (d) 72 sq cm
  27. 27.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 11 cm (c) 20 cm (d) 10 cm
  28. 28.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 32 cm (c) 29 cm (d) 16 cm
  29. 29.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 18 cm (c) 120 cm (d) 9 cm
  30. 30.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 26 sq cm (c) 13 sq cm (d) 42 sq cm
  31. 31.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 45 sq cm (d) 36 sq cm
  32. 32.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 10 cm (b) 28 cm (c) 6 cm (d) 5 cm
  33. 33.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
  34. 34.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 32 cm (b) 110 cm (c) 21 cm (d) 42 cm
  35. 35.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
  36. 36.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 120 cm (c) 7 cm (d) 14 cm
  37. 37.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 24 sq cm (c) 36 sq cm (d) 14 sq cm
  38. 38.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 16 cm (c) 10 cm (d) 20 cm
  39. 39.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 33 sq cm (b) 44 sq cm (c) 14 sq cm (d) 28 sq cm
  40. 40.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 16 sq cm (c) 24 sq cm (d) 10 sq cm

Answer key

  1. 240 sq cm
  2. 8 cm
  3. 6 cm
  4. 10 cm
  5. 64 sq cm
  6. 20 cm
  7. 28 cm
  8. 100 sq cm
  9. 30 cm
  10. 169 sq cm
  11. 171 sq cm
  12. 5 cm
  13. 136 sq cm
  14. 90 sq cm
  15. 7 cm
  16. 60 cm
  17. 10 cm
  18. 60 cm
  19. 56 sq cm
  20. 40 cm
  21. 49 sq cm
  22. 140 sq cm
  23. 26 cm
  24. 144 sq cm
  25. 121 sq cm
  26. 54 sq cm
  27. 10 cm
  28. 32 cm
  29. 9 cm
  30. 42 sq cm
  31. 36 sq cm
  32. 5 cm
  33. 25 sq cm
  34. 42 cm
  35. 196 sq cm
  36. 7 cm
  37. 24 sq cm
  38. 20 cm
  39. 33 sq cm
  40. 16 sq cm

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