The area of the rectangle is 42 units
The formula for calculating the area of a rectangle is expressed as:
From the figure, we will use the formula for calculating the distance between two points as shown:
For the length, we will use the coordinate points (5, 2) and (2, -1)
Length = √(-1-2)² + (2-5)²
Length = √9 + 9
Length = √18 = 3√2
Similarly for the width, we will use the coordinate points (5, 2) and (12, -5)
Width = √(-5-2)² + (12-5)²
Length = √49 + 49
Length = √98 = 7√2
Area of the rectangle = 3√2 * 7√2
Area of the rectangle = 42 units
Hence the area of the rectangle is 42 units
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