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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 656 · 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 16 cm long and 10 cm wide. What is its area? (a) 52 sq cm (b) 160 sq cm (c) 26 sq cm (d) 176 sq cm
  2. 2.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 14 cm (c) 90 cm (d) 7 cm
  3. 3.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 28 sq cm (c) 22 sq cm (d) 35 sq cm
  4. 4.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 45 cm (c) 50 cm (d) 100 cm
  5. 5.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 96 cm (b) 40 cm (c) 32 cm (d) 20 cm
  6. 6.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 19 sq cm (c) 24 sq cm (d) 18 sq cm
  7. 7.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 32 cm (c) 25 cm (d) 16 cm
  8. 8.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 22 cm (c) 140 cm (d) 11 cm
  9. 9.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 133 sq cm (d) 152 sq cm
  10. 10.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 12 sq cm (d) 18 sq cm
  11. 11.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 81 sq cm (c) 34 sq cm (d) 17 sq cm
  12. 12.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 28 sq cm (d) 64 sq cm
  13. 13.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 1 cm
  14. 14.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 15 cm (c) 9 cm (d) 19 cm
  15. 15.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 12 cm (b) 21 cm (c) 24 cm (d) 27 cm
  16. 16.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 45 sq cm (c) 14 sq cm (d) 28 sq cm
  17. 17.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 14 cm (b) 8 cm (c) 96 cm (d) 7 cm
  18. 18.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 22 cm (b) 200 cm (c) 12 cm (d) 11 cm
  19. 19.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 64 sq cm (c) 30 sq cm (d) 15 sq cm
  20. 20.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
  21. 21.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
  22. 22.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 4 cm (c) 36 cm (d) 3 cm
  23. 23.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
  24. 24.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 132 sq cm (b) 23 sq cm (c) 46 sq cm (d) 144 sq cm
  25. 25.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 24 sq cm (c) 35 sq cm (d) 12 sq cm
  26. 26.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 209 cm (c) 13 cm (d) 24 cm
  27. 27.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 162 cm (b) 10 cm (c) 11 cm (d) 20 cm
  28. 28.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 28 cm (b) 6 cm (c) 4 cm (d) 3 cm
  29. 29.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 21 sq cm (c) 14 sq cm (d) 18 sq cm
  30. 30.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 100 sq cm (c) 24 sq cm (d) 80 sq cm
  31. 31.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 48 cm (b) 22 cm (c) 28 cm (d) 14 cm
  32. 32.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 56 sq cm (c) 28 sq cm (d) 14 sq cm
  33. 33.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 35 cm (d) 19 cm
  34. 34.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 76 cm (b) 23 cm (c) 46 cm (d) 42 cm
  35. 35.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
  36. 36.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 20 cm (b) 11 cm (c) 99 cm (d) 10 cm
  37. 37.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 228 cm (b) 31 cm (c) 50 cm (d) 62 cm
  38. 38.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 48 cm (c) 32 cm (d) 28 cm
  39. 39.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 38 sq cm (b) 48 sq cm (c) 64 sq cm (d) 19 sq cm
  40. 40.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 169 sq cm (d) 24 sq cm

Answer key

  1. 160 sq cm
  2. 7 cm
  3. 28 sq cm
  4. 50 cm
  5. 40 cm
  6. 18 sq cm
  7. 32 cm
  8. 11 cm
  9. 133 sq cm
  10. 12 sq cm
  11. 72 sq cm
  12. 49 sq cm
  13. 2 cm
  14. 18 cm
  15. 24 cm
  16. 45 sq cm
  17. 7 cm
  18. 11 cm
  19. 56 sq cm
  20. 25 sq cm
  21. 64 sq cm
  22. 3 cm
  23. 81 sq cm
  24. 132 sq cm
  25. 35 sq cm
  26. 12 cm
  27. 10 cm
  28. 3 cm
  29. 14 sq cm
  30. 80 sq cm
  31. 28 cm
  32. 48 sq cm
  33. 24 cm
  34. 46 cm
  35. 225 sq cm
  36. 10 cm
  37. 62 cm
  38. 32 cm
  39. 48 sq cm
  40. 144 sq cm

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