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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 653 · 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 square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 30 sq cm (d) 225 sq cm
  2. 2.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 25 cm (b) 114 cm (c) 44 cm (d) 50 cm
  3. 3.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 143 sq cm (b) 24 sq cm (c) 48 sq cm (d) 156 sq cm
  4. 4.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 11 cm (c) 22 cm (d) 28 cm
  5. 5.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 19 cm (d) 35 cm
  6. 6.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 225 sq cm (d) 28 sq cm
  7. 7.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
  8. 8.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 99 sq cm (b) 110 sq cm (c) 20 sq cm (d) 40 sq cm
  9. 9.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 135 cm
  10. 10.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 200 cm (b) 50 cm (c) 60 cm (d) 30 cm
  11. 11.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 57 sq cm (c) 76 sq cm (d) 22 sq cm
  12. 12.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 21 cm (d) 17 cm
  13. 13.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
  14. 14.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 27 sq cm (c) 18 sq cm (d) 22 sq cm
  15. 15.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 104 cm (b) 34 cm (c) 42 cm (d) 21 cm
  16. 16.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 32 cm
  17. 17.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 52 cm (c) 30 cm (d) 17 cm
  18. 18.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 25 cm (c) 32 cm (d) 63 cm
  19. 19.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 176 sq cm (d) 192 sq cm
  20. 20.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 114 sq cm (b) 133 sq cm (c) 50 sq cm (d) 25 sq cm
  21. 21.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 12 cm (c) 20 cm (d) 24 cm
  22. 22.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 54 sq cm (c) 14 sq cm (d) 45 sq cm
  23. 23.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 24 cm (b) 38 cm (c) 140 cm (d) 48 cm
  24. 24.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 60 cm (b) 32 cm (c) 26 cm (d) 16 cm
  25. 25.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 20 cm (b) 11 cm (c) 126 cm (d) 10 cm
  26. 26.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 24 cm (b) 220 cm (c) 12 cm (d) 13 cm
  27. 27.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 24 cm (c) 12 cm (d) 13 cm
  28. 28.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 14 cm (b) 96 cm (c) 8 cm (d) 7 cm
  29. 29.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 110 cm (b) 42 cm (c) 21 cm (d) 32 cm
  30. 30.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 19 sq cm (b) 91 sq cm (c) 78 sq cm (d) 38 sq cm
  31. 31.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
  32. 32.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
  33. 33.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 144 cm (c) 44 cm (d) 52 cm
  34. 34.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
  35. 35.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 5 cm (b) 8 cm (c) 33 cm (d) 4 cm
  36. 36.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
  37. 37.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 28 sq cm (c) 21 sq cm (d) 10 sq cm
  38. 38.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 35 sq cm (c) 28 sq cm (d) 22 sq cm
  39. 39.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 13 cm (c) 2 cm (d) 4 cm
  40. 40.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 28 sq cm (b) 190 sq cm (c) 171 sq cm (d) 56 sq cm

Answer key

  1. 225 sq cm
  2. 50 cm
  3. 143 sq cm
  4. 22 cm
  5. 24 cm
  6. 196 sq cm
  7. 144 sq cm
  8. 99 sq cm
  9. 10 cm
  10. 60 cm
  11. 57 sq cm
  12. 20 cm
  13. 5 cm
  14. 18 sq cm
  15. 42 cm
  16. 5 cm
  17. 34 cm
  18. 32 cm
  19. 176 sq cm
  20. 114 sq cm
  21. 24 cm
  22. 45 sq cm
  23. 48 cm
  24. 32 cm
  25. 10 cm
  26. 12 cm
  27. 12 cm
  28. 7 cm
  29. 42 cm
  30. 78 sq cm
  31. 36 sq cm
  32. 81 sq cm
  33. 52 cm
  34. 49 sq cm
  35. 4 cm
  36. 7 cm
  37. 21 sq cm
  38. 28 sq cm
  39. 2 cm
  40. 171 sq cm

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