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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 846 · 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 has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 11 cm (c) 120 cm (d) 12 cm
  2. 2.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 56 sq cm (d) 28 sq cm
  3. 3.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 14 sq cm (c) 21 sq cm (d) 18 sq cm
  4. 4.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 28 cm
  5. 5.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 40 sq cm (d) 121 sq cm
  6. 6.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 44 sq cm (b) 132 sq cm (c) 120 sq cm (d) 22 sq cm
  7. 7.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 121 sq cm (d) 44 sq cm
  8. 8.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 21 sq cm (c) 42 sq cm (d) 98 sq cm
  9. 9.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 28 sq cm (b) 180 sq cm (c) 160 sq cm (d) 56 sq cm
  10. 10.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 16 sq cm (b) 60 sq cm (c) 48 sq cm (d) 32 sq cm
  11. 11.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 4 cm (c) 3 cm (d) 2 cm
  12. 12.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) 9 cm (d) 120 cm
  13. 13.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 26 sq cm (d) 169 sq cm
  14. 14.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 48 sq cm (d) 24 sq cm
  15. 15.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 133 cm (b) 52 cm (c) 26 cm (d) 45 cm
  16. 16.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 144 cm (c) 10 cm (d) 20 cm
  17. 17.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 48 sq cm (d) 40 sq cm
  18. 18.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 28 cm (c) 3 cm (d) 4 cm
  19. 19.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 10 sq cm (c) 20 sq cm (d) 24 sq cm
  20. 20.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 28 sq cm (d) 14 sq cm
  21. 21.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 10 cm (c) 126 cm (d) 20 cm
  22. 22.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 37 cm (b) 126 cm (c) 23 cm (d) 46 cm
  23. 23.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 5 cm (c) 21 cm (d) 8 cm
  24. 24.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 90 sq cm (b) 22 sq cm (c) 72 sq cm (d) 44 sq cm
  25. 25.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 27 sq cm (b) 140 sq cm (c) 54 sq cm (d) 160 sq cm
  26. 26.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 228 sq cm (b) 209 sq cm (c) 30 sq cm (d) 60 sq cm
  27. 27.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 144 cm (b) 41 cm (c) 25 cm (d) 50 cm
  28. 28.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  29. 29.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 120 cm (b) 34 cm (c) 44 cm (d) 22 cm
  30. 30.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 39 sq cm (c) 16 sq cm (d) 52 sq cm
  31. 31.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 100 cm
  32. 32.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 45 cm
  33. 33.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 60 sq cm (b) 200 sq cm (c) 220 sq cm (d) 30 sq cm
  34. 34.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 38 cm (b) 96 cm (c) 22 cm (d) 44 cm
  35. 35.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 23 cm (d) 30 cm
  36. 36.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 17 cm (d) 30 cm
  37. 37.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 65 sq cm (b) 18 sq cm (c) 36 sq cm (d) 78 sq cm
  38. 38.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 44 cm (c) 80 cm (d) 48 cm
  39. 39.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 40 sq cm (c) 13 sq cm (d) 26 sq cm
  40. 40.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 128 sq cm (d) 112 sq cm

Answer key

  1. 11 cm
  2. 196 sq cm
  3. 14 sq cm
  4. 5 cm
  5. 100 sq cm
  6. 120 sq cm
  7. 121 sq cm
  8. 98 sq cm
  9. 160 sq cm
  10. 48 sq cm
  11. 2 cm
  12. 9 cm
  13. 169 sq cm
  14. 144 sq cm
  15. 52 cm
  16. 10 cm
  17. 40 sq cm
  18. 3 cm
  19. 24 sq cm
  20. 24 sq cm
  21. 10 cm
  22. 46 cm
  23. 4 cm
  24. 72 sq cm
  25. 140 sq cm
  26. 209 sq cm
  27. 50 cm
  28. 49 sq cm
  29. 44 cm
  30. 39 sq cm
  31. 6 cm
  32. 6 cm
  33. 200 sq cm
  34. 44 cm
  35. 26 cm
  36. 22 cm
  37. 65 sq cm
  38. 48 cm
  39. 30 sq cm
  40. 112 sq cm

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