To find the width of the rectangle given its perimeter and length, we can use the formula for the perimeter of a rectangle:
\[ P = 2 \times (L + W) \]
where \( P \) is the perimeter, \( L \) is the length, and \( W \) is the width.
Given that the perimeter \( P = 22.4 \) mm and the length \( L = 7.2 \) mm, we can rearrange the formula to solve for \( W \):
\[ 22.4 = 2 \times (7.2 + W) \]
First, divide both sides by 2:
\[ 11.2 = 7.2 + W \]
Next, subtract 7.2 from both sides to solve for \( W \):
\[ W = 11.2 - 7.2 \] \[ W = 4 \text{ mm} \]
Therefore, the width of the rectangle is 4 mm.
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