# Area of Polygon in the Coordinate Plane Worksheet

Printable “Area of Polygons” Worksheets:
Area of Parallelogram
Area of Triangle
Area of Polygon by Decomposition
Area of Polygon in the Coordinate Plane

Free printable and online worksheets to help Grade 6 students learn how to write and graph inequalities on the number line given statements or word problems.

### How to find the area of polygons in the coordinate plane?

Method 1:

1. We can draw a rectangle around the outside of the polygon.
2. Using these vertical and horizontal lines, we can find the area of the triangles that would be formed around the original polygon.
3. These areas would be subtracted from the area of the rectangle leaving us with the area of the original polygon in the center.

Method 2: Decomposition & Triangles

1. Try to break down the polygon into simpler shapes, most commonly triangles. For example, you can achieve this by drawing lines between non-consecutive vertices (corners) to create triangles.
2. Once you have your triangles, find the area of each triangle using the formula:
Area of triangle = 1/2 × base × height
3. Add up the areas of all the individual triangles you created in step 1. This will give you the total area of the original polygon.

Have a look at this video if you need to review how to find the area of polygons in the coordinate plane.

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