Area of Polygon by Decomposition Worksheets

There are five sets of area worksheets:
Area of Rectangles
Area of Rectangles Word Problems
Area of Parallelogram
Area of Triangle
Area of Polygon by Decomposition

Examples, solutions, videos, and worksheets to help grade 6 learn how to find the area of a polygon by decomposing into rectangles or triangles.

How to find the area of a polygon by decomposition?

There are two sets of area of polygon worksheets.

• Area of a polygon by decomposing into rectangles
• Area of a polygon by decomposing into triangles & rectangles.

To find the area of a polygon by decomposition, you can break the polygon into smaller, simpler shapes (typically triangles or rectangles), calculate the area of each of these smaller shapes, and then sum up their areas to find the total area of the polygon.

Here are the steps:

1. Divide the polygon into simpler shapes: Look for lines within the polygon that you can use to divide it into triangles or rectangles. These shapes should be easy to calculate the area for.
2. Calculate the area of each simpler shape: For triangles, use the formula (1/2) × base × height. For rectangles, use length × width.
3. Sum up the areas of all the simpler shapes: Add up the areas of all the triangles and rectangles you’ve divided the polygon into.

Have a look at this video if you need to review how to find the area of a composite figure.

• Finding the Area of a Composite Figure

Have a look at this video if you need to review how to find the area of a composite figure with triangles.

• Finding the Area of Composite Figures with Triangles

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Area of Polygon by Decomposition Worksheets.

 

More Area of Polygon by Decomposition Worksheets

Printable
(Answers on the second page.)
Area of Polygon by Decomposition Worksheet #1 (using rectangles)
Area of Polygon by Decomposition Worksheet #2 (using triangles & rectangles)

Online
Area & Perimeter of Rectangles 1
Area & Perimeter of Rectangles 2
Area & Perimeter of Rectangles 3

Area & Perimeter of Parallelogram
Area of Triangle
Area of Parallelograms
Area of Triangle & Parallelogram
Area of Trapezoid (Trapezium)
Area of Shapes
Area of shaded Region

Related Lessons & Worksheets

Area of Polygon by Composition & Decomposition

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