Geometry

Question Analysis
This question tests the understanding of the Slopes of Parallel Lines Theorem and the application of the area formula for a trapezoid.

Key Concept Explanation
The Slopes of Parallel Lines Theorem states that if two non-vertical lines are parallel, then their slopes are equal. The slope-intercept form of a line is given by , where is the slope and is the y-intercept.

Step-by-step Solution
1. Calculate the slope of Line C using the points (0, 3) and (4, 15):

2. Since Line D is parallel to Line C, the slope of Line D is also 3.
3. The equation of Line D can be written as , where is the y-intercept we need to find. And b > 0, because the trapezoid is formed in quadrant Ⅰ.
4. The trapezoid has a height of 2 (from x = 0 to x = 2) and an area of 24 unit². The area of a trapezoid is given by , where and

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