Area of triangles, parallelograms and trapezoids
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Free printable area of triangles, parallelograms and trapezoids worksheets for 5th grade. Students apply three distinct area formulas — ½bh for triangles, bh for parallelograms, and ½(b₁+b₂)h for trapezoids — selecting the correct formula based on the shape shown. These worksheets develop flexible geometric reasoning across multiple polygon types. Part of our geometry worksheets collection.
What You'll Learn
- Calculate area of triangles, parallelograms, and trapezoids
- Apply correct formulas for each quadrilateral and triangle type
- Solve mixed area problems across multiple shape types
FAQ
Why does the parallelogram area formula not include the ½ factor?⌄
A parallelogram can be rearranged into a rectangle (by cutting a right triangle from one side and reattaching it to the other), so its area equals base × height without halving — unlike a triangle, which is half a parallelogram.
What makes the trapezoid area formula challenging for 5th graders?⌄
The formula uses two different base lengths (the parallel sides) and averages them before multiplying by height — the idea of averaging bases is a new step that requires understanding why both parallel sides contribute to the area.
How can students self-check their formula selection on multi-shape worksheets?⌄
Students should first name the shape (triangle, parallelogram, or trapezoid), write the correct formula before substituting numbers, and confirm the result is labeled in square units — a three-step check that catches most formula-mix-up errors.
Ratings & Reviews
3Jamie T.
1st Grade Teacher · Verified download
Thanks for creating this! I'll be using it the moment it's available.
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David L.
2nd Grade Teacher · Verified download
Looking forward to this! All the other ClassWeekly worksheets are excellent so I know this will be too.
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Homeschool parent · Verified download
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