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1 (with a grid-based geometric figure and a blank line below)

Question

1 (with a grid-based geometric figure and a blank line below)

Explanation:

Response

To find the area of the given composite figure (a triangle and a parallelogram), we can calculate the area of each part and then sum them.

Step 1: Area of the Triangle

The triangle has a base of \( 3 \) units (horizontal) and a height of \( 2 \) units (vertical). The formula for the area of a triangle is \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \).

\[
\text{Area of triangle} = \frac{1}{2} \times 3 \times 2 = 3
\]

Step 2: Area of the Parallelogram

The parallelogram has a base of \( 3 \) units (horizontal) and a height of \( 3 \) units (vertical, distance between the parallel sides). The formula for the area of a parallelogram is \( \text{Area} = \text{base} \times \text{height} \).

\[
\text{Area of parallelogram} = 3 \times 3 = 9
\]

Step 3: Total Area of the Figure

Add the area of the triangle and the parallelogram.

\[
\text{Total Area} = 3 + 9 = 12
\]

Answer:

The area of the figure is \( \boldsymbol{12} \) square units.