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Rasek [7]
2 years ago
10

What is the area of the rectangle shown on the coordinate plane?

Mathematics
1 answer:
PolarNik [594]2 years ago
7 0

The area of the rectangle is 42 units

The formula for calculating the area of a rectangle is expressed as:

  • A = length * width

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

Learn more on area of rectangle here:brainly.com/question/2607596

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