To find the total width of 28 pieces of 2-by-4 wood laid side-by-side, we need to multiply the width of one 2-by-4 by the number of pieces.
The width of one 2-by-4 is 3.5 inches. Therefore, for 28 pieces, the calculation is:
\[ \text{Total width} = 28 \times 3.5 \]
Now, let's perform the multiplication:
\[ 28 \times 3.5 = 28 \times \frac{35}{10} = \frac{28 \times 35}{10} \]
Calculating \(28 \times 35\):
\[ 28 \times 35 = 980 \]
Now, dividing by 10:
\[ \frac{980}{10} = 98 \]
So, the total width of 28 2-by-4s laid side-by-side is:
\[ \boxed{98} \text{ inches} \]
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