Marigold measures the length and height of a triangular sandwich. If the sandwich’s base measures 4 inches and its area measures 7 square inches, what is the height in inches of the sandwich? (1 point)

Responses

11 inches
11 inches

3.5 inches
3.5 inches

14 inches
14 inches

1.75 inches

1 answer

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, the area is given as 7 square inches and the base is 4 inches. Let \( h \) be the height. We can plug in the values:

\[ 7 = \frac{1}{2} \times 4 \times h \]

Now, simplify the equation:

\[ 7 = 2h \]

Next, solve for \( h \) by dividing both sides by 2:

\[ h = \frac{7}{2} = 3.5 \]

Thus, the height of the sandwich is 3.5 inches.

The correct response is: 3.5 inches.