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What is the method for determining the total coverage area of distinct cells in a Cartesian graph containing multiple rectangles centered at the origin?

asked 2023-05-10 18:15:19 +0000

david gravatar image

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answered 2023-05-10 18:35:02 +0000

nofretete gravatar image

To determine the total coverage area of distinct cells in a Cartesian graph containing multiple rectangles centered at the origin, follow these steps:

  1. Identify the coordinates of the vertices of each rectangle. If each rectangle is centered at the origin, it may be easier to identify the distance from the origin to each vertex.

  2. Determine the width and height of each rectangle. This can be calculated by finding the difference between the x-coordinates and y-coordinates, respectively, of the opposite vertices.

  3. Calculate the area of each rectangle by multiplying its width by its height.

  4. Identify any overlapping areas between the rectangles. These are the areas that are included in multiple rectangles.

  5. Subtract the overlapping areas from the total area of the rectangles to get the total coverage area of the distinct cells.

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Asked: 2023-05-10 18:15:19 +0000

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Last updated: May 10 '23