SOLUTION: find the area and perimeter of a polygon with vertices A(1,2), B(2,-1), C(-1,-2), D(-2,1)

Question 946623: find the area and perimeter of a polygon with vertices A(1,2), B(2,-1), C(-1,-2), D(-2,1)
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
A(1,2), B(2,-1), C(-1,-2), D(-2,1)
first draw a polygon using given vertices:

find distance ,

Thus in our case, the required distance is

For more on this concept, refer to Distance formula.

Thus in our case, the required distance is

For more on this concept, refer to Distance formula.

Solved by pluggable solver: Distance Formula to determine length on coordinate plane

The distance (d) between two points is given by the following formula:

Thus in our case, the required distance is

For more on this concept, refer to Distance formula.

Thus in our case, the required distance is

For more on this concept, refer to Distance formula.

since all distances same => your polygon is a square and the length of its side is
then the area and perimeter of this polygon will be:

perimeter:

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