Step-by-step explanation:
For finding the polygon's area, we first need to find the length and the breadth/width, for finding the length, we need to see the difference in the plane of the two points, the first 2 points are
A and B,
A is at (-5,-2) and B is at (4,-2), Hence the change in the x coordinate is 9 so 9 is our length, Now for the breadth/width, the coordinates are of C and B
C is at (4,-7) and B is at (4,-2), the difference in the y coordinate is 5, hence the width is 5, the reason why the breadth is taken as from C and B and not from C and D is because the last endpoint of the length is to be taken.
Hence,
A = L * B
=> A = 9 * 5
=> A = 45 units
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