Question

what is the area of the shaded region?
4 mm
6 mm
square millimeters
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Explanation:

Step1: Recall triangle area formula

The area of a triangle is given by \( A = \frac{1}{2} \times base \times height \).

Step2: Identify base and height

The base of the shaded triangle is \( 6 \, \text{mm} \) and the height (perpendicular to the base) is \( 4 \, \text{mm} \).

Step3: Calculate the area

Substitute the values into the formula: \( A = \frac{1}{2} \times 6 \times 4 \).
First, multiply \( 6 \times 4 = 24 \). Then, divide by 2: \( \frac{24}{2} = 12 \).

Answer:

12