Compound Area Calculations
Learning Objective
I can find the area of compound shapes by breaking them into smaller known figures
Lesson Flow
Watch Video
Finding the Area of a Composite Figure | Area of Composite Rectangles
Math with Mr. J
Guided Notes
Key concepts students will learn:
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To find the area of an irregular polygon, you must decompose it into different shapes for which you know the area formulas, such as triangles and trapezoids.
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The apothem is the distance from the center of a regular polygon to the side at a right angle, and it represents the height of the triangles formed when finding the area.
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The area of a regular polygon can be found using the formula: Area = ½ × perimeter × apothem.
Practice
4 questions • Multiple choice & Short answer
Exit Ticket
“A compound shape is made of a rectangle and a square. The rectangle is 4 inches long and 2 inches wide. The square has sides of 3 inches. What is the total area of the compound shape? Show your work.”
Teacher Guide
Get the complete package:
- Answer keys for all questions
- Differentiation strategies
- Extension activities
- Printable student handouts
