This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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12 square units
Here are the square units for each shape:
a) Step 1: Count the full squares. There are 1 full square in the first row, 2 in the second, 3 in the third, and 4 in the fourth. Total full squares = . Step 2: Count the partial squares. There are 4 half squares (two on the left side, two on the right side). 4 half squares combine to make full squares. Step 3: Add the full and partial squares. Total square units = . The shape has .
b) Step 1: Count the full squares. There is 1 full square in the first row, 2 in the second, 2 in the third, and 1 in the fourth. Total full squares = . Step 2: Count the partial squares. There are 4 half squares (two on the left side, two on the right side). 4 half squares combine to make full squares. Step 3: Add the full and partial squares. Total square units = . The shape has .
c) Step 1: Count the full squares. The rectangle is 2 units wide and 4 units high. Total square units = . The shape has .
d) Step 1: Count the full squares. There are 2 full squares in the first row, 4 in the second, 4 in the third, and 2 in the fourth. Total full squares = . Step 2: Count the partial squares. There are 4 half squares (one at each corner point). 4 half squares combine to make full squares. Step 3: Add the full and partial squares. Total square units = . The shape has .
e) Step 1: Count the full squares. There are 2 full squares in the second row and 4 in the third row. Total full squares = . Step 2: Count the partial squares. There are 4 half squares (one at the top point, one at the bottom point, and two on the sides). 4 half squares combine to make full squares. Step 3: Add the full and partial squares. Total square units = . The shape has .
f) Step 1: Count the full squares. There is 1 full square in the second row, 2 in the third, and 3 in the fourth. Total full squares = . Step 2: Count the partial squares. There are 4 half squares (two on the left side, two on the right side). 4 half squares combine to make full squares. Step 3: Add the full and partial squares. Total square units = . The shape has .
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a) Step 1: Count the full squares. There are 1 full square in the first row, 2 in the second, 3 in the third, and 4 in the fourth.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.