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14. three points are graphed below. determine a fourth point that lies …

Question

  1. three points are graphed below. determine a fourth point that lies on the y - axis that will create a rectangle. what is the area of the rectangle? type a response

Explanation:

Step1: Identify length and width

First, find the length and width of the rectangle using the coordinates. The points are \((0, 3)\), \((4, 3)\), and \((4, 6)\). The length (horizontal distance) between \((0, 3)\) and \((4, 3)\) is \(4 - 0 = 4\). The width (vertical distance) between \((4, 3)\) and \((4, 6)\) is \(6 - 3 = 3\).

Step2: Calculate area of rectangle

The formula for the area of a rectangle is \(A = \text{length} \times \text{width}\). Substituting the values, we get \(A = 4 \times 3\).

Answer:

12