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To find the height of the sandwich, we can use the formula for the area of a triangle:
Area = (base * height) / 2.
Given that the base of the sandwich is 4 inches and its area is 7 square inches, we can rearrange the formula to solve for the height:
Height = (2 * Area) / base.
Plugging in the values, we get:
Height = (2 * 7) / 4 = 14 / 4 = 3.5 inches.
Therefore, the height of the sandwich is 3.5 inches.