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6th Grade Math

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.

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:

- 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.
- Calculate the area of each simpler shape: For triangles, use the formula (1/2) × base × height. For rectangles, use length × width.
- 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.

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

**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

Area of Polygon by Composition & Decomposition

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