Free Printable Area of Complex Shapes Worksheets for Class 6

Start with an L-shaped figure and model how to draw a line that splits it into two rectangles. Have students label dimensions, calculate each smaller area, and add the results. Then introduce figures that can be solved in more than one way so students can compare decomposition strategies.

Use a progression of L- and T-shaped figures, irregular polygons made from rectangles and triangles, and composite figures containing parallelograms or trapezoids. Include a few problems with missing side lengths so students must reason from the full diagram before using an area formula.

Sixth graders often use a perimeter calculation, overlook part of the figure, or apply the wrong base and height. They may also double-count a shared region. Requiring students to shade and label each component before calculating makes these errors easier to spot.

Assign the worksheet as a digital quiz on Wayground or download the printable PDF for paper practice. Every worksheet includes a complete answer key. For paper submissions, teachers can scan or capture student work and grade it with the Wayground for Teachers app.

This topic aligns with Common Core's emphasis on applying area formulas to solve problems. Students build from finding the area of individual rectangles, triangles, and other polygons toward decomposing irregular figures and adding the areas of their non-overlapping parts.

Give students who need support a version with larger type or wider spacing, and begin with figures composed only of rectangles. For digital work, reduced answer choices can lower cognitive load while extended time gives students room to label and calculate each section.

Yes. Grade 6 students are ready to combine familiar polygon-area formulas to solve multi-step problems involving irregular and composite figures. The work also prepares them for more advanced geometry involving circles, surface area, and unfamiliar dimensions.