To find the height of the triangular sandwich, we can use the formula for the area of a triangle:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
We know the following:
- Area = 7 square inches
- Base = 4 inches
- Height (h) = ?
Now, we can plug the known values into the formula:
\[ 7 = \frac{1}{2} \times 4 \times h \]
To simplify, we first calculate \(\frac{1}{2} \times 4\):
\[ \frac{1}{2} \times 4 = 2 \]
Now we can rewrite the equation:
\[ 7 = 2 \times h \]
Next, solve for \(h\):
\[ h = \frac{7}{2} = 3.5 \text{ inches} \]
The height of the sandwich is 3.5 inches.
Therefore, the correct response is 3.5 inches.