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

11 inches
11 inches

14 inches
14 inches

3.5 inches
3.5 inches

1.75 inches

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Answer 1

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

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

Given that the area is 7 square inches and the base is 4 inches, we can set up the equation:

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

Now, solve for the height:

1. Multiply both sides by 2 to eliminate the fraction: \[ 14 = 4 \times \text{height} \]

2. Divide both sides by 4: \[ \text{height} = \frac{14}{4} = 3.5 \text{ inches} \]

Therefore, the height of the sandwich is 3.5 inches.