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)

Question

Responses

3.5 inches
3.5 inches

1.75 inches
1.75 inches

14 inches
14 inches

11 inches
11 inches
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Answer 1

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

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

We know the area of the sandwich is 7 square inches and the base is 4 inches. Let's denote the height as $h$. Plugging in the values we know:

$$7=\frac{1}{2}\times 4\times h$$

Solving for $h$:

$$7=2h$$

$$h=\frac{7}{2}=3.5$$

Thus, the height of the sandwich is 3.5 inches.