Ind the area of the polygon with the given vertices. n(−2, 1), p(3, 1), q(3,−1), r(−2,−1)

 10

Step-by-step explanation:

If you graph the polygon, you will see that it is a rectangle with length = 5 and width = 2.  Using the area formula for a rectangle: A = Length x width

A = 5 × 2

  =   10

If you don't graph it, then you need to find the distance between the points.

Continue by finding the distance from Q to R (which equals 5) and the distance from R to N (which equals 2), which shows that this polygon is a rectangle.  Then use the area formula: A = NP × PQ

                                                                        =  5  ×   2

                                                                        =     10

0.02040816326