Free Printable Area of Complex Figures Worksheets for Class 6

Start with L-shaped figures made from two rectangles. Have students draw the dividing line, label missing side lengths, calculate each rectangle’s area, and add the results. Once that process is secure, show an alternative decomposition so students see that different valid partitions produce the same total area.

Use a short progression: composite rectangles with all dimensions labeled, figures with one missing length, and irregular polygons that can be decomposed in more than one way. Ask students to mark each component and record its area before finding the total.

Sixth graders often add side lengths instead of areas, overlook part of the figure, or use a full side length for a smaller component. Requiring a labeled decomposition and a separate area calculation for each piece makes these errors easier to catch.

Print the PDF for guided practice, homework, or an off-screen geometry station. After students complete the paper worksheet, you can scan or capture their work for grading with the Wayground for Teachers app; every worksheet also includes a complete answer key.

This topic aligns with Common Core geometry work that applies area formulas to real-world and mathematical problems. Students build from finding the area of rectangles and triangles toward decomposing irregular polygons and using missing dimensions to calculate a total area.

Give developing learners a version with larger text or wider spacing and begin with two-rectangle figures. For digital work, reduced answer choices can lower cognitive load, while advanced students can solve figures with missing dimensions or compare two decomposition methods.

Composite-area problems are commonly taught in Grade 6 after students know basic area formulas. At this level, the central skill is breaking an irregular figure into familiar shapes and combining their areas accurately.