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