Question

Merry go measures the length and height of a triangular sandwich. If a sandwich is based measures 4 inches and his area measures 7 inches. What is the height and inches of the sandwich?
3.5 inches
11 inches
14 inches
1.75 inches

Answer 1

To find the height of the triangular sandwich, we can use the formula for the area of a triangle:

\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]

Given:
- Area = 7 square inches
- Base = 4 inches

We can plug these values into the area formula and solve for the height:

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

Now, simplify and solve for height:

\[
7 = 2 \times \text{height}
\]
\[
\text{height} = \frac{7}{2} = 3.5 \text{ inches}
\]

So the height of the sandwich is **3.5 inches**.