Q:

What is the area of parallelogram ABCD?____ square units

Accepted Solution

A:
Answer:13Step-by-step explanation:Here's a method of finding the area of any polygon knowing its vertices. I'm using this parallelogram as an example.Make a table like this (each vertex with its x- and y-coordinates):Pt    x       yA     3      6B     6      5C     5      1D     2      2A     3      6Now multiply each x-coordinate by the y-coordinate on the line below and write it on the right side. Bold type shows the first multiplication.        x       yA     3      6B     6      5      15C     5      1        6D     2      2      10A     3      6      12Now multiply each y-coordinate by the x-coordinate on the line below and subtract from each produce you already have. Do each subtraction. Bold type shows the first multiplication.        x       yA     3     6B     6      5      15 - 36 = -21C     5      1        6 - 25 = -19D     2      2      10 - 2 =     8A     3      6      12 - 6 =     6Add all the differences.        x       yA     3      6B     6      5      15 - 36 = -21C     5      1        6 - 25 = -19D     2      2      10 - 2 =     8A     3      6      12 - 6 =     6                                    +____                                        -26The area of the polygon is the absolute value of half of the sum of the differences.area = |-26/2| = |-13| = 13