Area of Composite Figures on a Grid
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Area of Composite Figures on a Grid
Area of composite figures worksheet: four shapes on coordinate grids, L shapes and rectangles with triangles or trapezoids on them. Split each one up and add the areas. Grades 6 and 7, with an answer key.
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Teach it first
Area of Composite FiguresA teaching handout to hand out before this sheet: the rule, worked examples and common mistakes.- Pages
- 1
- Last updated
- Time
- About 15 minutes
- Answer key
- Included
- Printing
- Black and white
- Related curriculum
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Find the area of parallelograms, triangles and trapezoids by cutting and moving parts to make rectangles, then with their formulas, and find the area of shapes made of these.
Reviewed by Mr. Daniel Carter, Teacher. How we check worksheets
How to use this sheet
- Have the child mark the base and the height of each shape before using a formula.
- Show why a triangle is half a rectangle by drawing the rectangle around it.
- For composite figures, have the child split the shape and label each part with its area.
Common mistakes
- Using a slanted side as the height. The height is straight up from the base, at a right angle.
- Forgetting to halve for a triangle, so the area is base × height.
- For a trapezoid, using only one base. Add the two parallel sides, then halve and multiply by the height.