Compound Area Calculations

Compound Area Calculations

Grade 6th Grade · Math · 35 min

What's Included

Learning Objective

I can find the area of compound shapes by breaking them into smaller known figures

Warm-Up Video

Math with Mr. J · 7:14

Finding the Area of a Composite Figure | Area of Composite Rectangles

Guided Notes

3 key concepts

  • 1

    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.

  • 2

    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.

  • 3

    The area of a regular polygon can be found using the formula: Area = ½ × perimeter × apothem.

Practice Questions

4 questions · Multiple choice & Short answer

Exit Ticket

Quick comprehension check

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