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Find the area of each shape in square units.

Mathematics

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Step-by-step solution

30 steps

To find the area of each shape, we will count the whole squares and then count any parts that are half a square or bigger, combining them to estimate the total area. Parts less than half a square are ignored.

  • Shape A:
  1. Count the whole squares.

    There are 4 whole squares.
    
  2. Count parts that are half a square or bigger.

    There are 0 such parts.
    
  3. Sum the counts.

    Area $= 4 + 0 = 4$ square units.  
    The area of Shape A is $\boxed{\text{4 square units}}$.
    
    • Shape B:
  4. Count the whole squares.

    There are 3 whole squares.
    
  5. Count parts that are half a square or bigger.

    There are 0 such parts.
    
  6. Sum the counts.

    Area $= 3 + 0 = 3$ square units.  
    The area of Shape B is $\boxed{\text{3 square units}}$.
    
    • Shape C:
  7. Count the whole squares.

    There are 2 whole squares.
    
  8. Count parts that are half a square or bigger.

    There are 4 parts that are exactly half a square (one in the top row, one in the middle row, and two in the bottom row).
    
  9. Sum the counts.

    Area $= 2 + 4 = 6$ square units.  
    The area of Shape C is $\boxed{\text{6 square units}}$.
    
    • Shape D:
  10. Count the whole squares.

    There is 1 whole square.
    
  11. Count parts that are half a square or bigger.

    There are 3 parts that are exactly half a square (one in each row on the right side).
    
  12. Sum the counts.

    Area $= 1 + 3 = 4$ square units.  
    The area of Shape D is $\boxed{\text{4 square units}}$.
    
    • Shape E:
  13. Count the whole squares.

    There are 4 whole squares.
    
  14. Count parts that are half a square or bigger.

    There are 0 such parts.
    
  15. Sum the counts.

    Area $= 4 + 0 = 4$ square units.  
    The area of Shape E is $\boxed{\text{4 square units}}$.
    
    • Shape F:
  16. Count the whole squares.

    There are 2 whole squares.
    
  17. Count parts that are half a square or bigger.

    There are 2 parts that are exactly half a square (one on each end).
    
  18. Sum the counts.

    Area $= 2 + 2 = 4$ square units.  
    The area of Shape F is $\boxed{\text{4 square units}}$.
    
    • Shape G:
  19. Count the whole squares.

    There is 1 whole square (in the center).
    
  20. Count parts that are half a square or bigger.

    There are 4 parts that are exactly half a square (the four triangles pointing outwards).
    
  21. Sum the counts.

    Area $= 1 + 4 = 5$ square units.  
    The area of Shape G is $\boxed{\text{5 square units}}$.
    
    • Shape H:
  22. Count the whole squares.

    There are 4 whole squares.
    
  23. Count parts that are half a square or bigger.

    There are 0 such parts.
    
  24. Sum the counts.

    Area $= 4 + 0 = 4$ square units.  
    The area of Shape H is $\boxed{\text{4 square units}}$.
    
    • Shape I:
  25. Count the whole squares.

    There are 0 whole squares.
    
  26. Count parts that are half a square or bigger.

    There are 4 parts that are exactly half a square (the four triangles).
    
  27. Sum the counts.

    Area $= 0 + 4 = 4$ square units.  
    The area of Shape I is $\boxed{\text{4 square units}}$.
    
    • Shape J:
  28. Count the whole squares.

    There is 1 whole square (in the center).
    
  29. Count parts that are half a square or bigger.

    There are 4 parts that are exactly half a square (the four triangles pointing outwards).
    
  30. Sum the counts.

    Area $= 1 + 4 = 5$ square units.  
    The area of Shape J is $\boxed{\text{5 square units}}$.
    
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