Free Printable Area of Trapezium Worksheets for Class 7

Derive A = ½(a + b)h by pairing two congruent trapeziums to form a parallelogram. Once students see why the average of the parallel sides is multiplied by the height, move from labeled diagrams to composite shapes and real-world applications.

Start with direct substitution, then vary the diagram orientation and require students to select the parallel bases and perpendicular height. Finish with composite figures in which the trapezium must be separated from a rectangle or triangle.

Students often average the wrong pair of sides, confuse a sloping edge with the perpendicular height, or calculate only one part of a composite figure. A useful check is to have them highlight the parallel sides in one color and mark the right angle showing the height.

The worksheets are available as printable PDFs and in digital formats for different classroom settings. You can host one as a Wayground digital quiz or print it for paper-based work; each worksheet has a complete answer key, and the Wayground for Teachers app can scan or capture paper submissions for grading.

It supports Common Core work with area, scale, and composite figures. Students build on basic polygon area by applying the trapezium formula within multi-part diagrams, a step toward solving surface-area and more advanced geometry problems.

Create a scaffolded version with larger text or wider spacing for students who need clearer diagrams, while giving advanced learners problems involving composite shapes. Extended time can also help students complete the necessary labeling and multi-step calculations without changing the task for the rest of the class.

The topic is commonly developed in middle school, and Grade 7 is well suited to practice that moves beyond direct formula use into composite shapes and applied problems.