To find the height of the triangular sandwich, we can use the formula for the area of a triangle:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
In this case, we know the area (7 square inches) and the base (4 inches). Let's denote the height as \( h \). We can set up the equation:
\[ 7 = \frac{1}{2} \times 4 \times h \]
To solve for \( h \), we first simplify the equation:
\[ 7 = 2h \]
Now, divide both sides by 2:
\[ h = \frac{7}{2} = 3.5 \]
Thus, the height of the sandwich is 3.5 inches.
So the correct response is: 3.5 inches.