Area of Composite Figures

Free to teach as-is — the teacher guide, student handout, and slides are included.

Free — we'll email you an access link. Google Docs format.

Objective

I can calculate the area of composite figures by decomposing them into basic shapes.

Part 1 of 4

Warm-up video

Professor Dave Explains · 6:39Vetted channel

We don't generate video — this one is by Professor Dave Explains on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    The area of a square is calculated by the formula side squared, while the area of a rectangle is length times width.

  2. 2

    The area of a triangle is found using the formula ½ × base × height, and the area of a parallelogram is base × height.

  3. 3

    The area of a circle is calculated using the formula πr², where r represents the radius of the circle.

Part 3 of 4

Practice

9 questions

1

What is the area of a square with a side length of 7 meters?

2

A rectangle has a length of 8 cm and a width of 3 cm. What is its area?

Part 4 of 4

Exit ticket

Quick comprehension check

A figure is composed of a rectangle and a right triangle. The rectangle has a length of 10 cm and a width of 5 cm. The triangle's base is the width of the rectangle, and its height is 4 cm. Calculate the total area of the composite figure. Show your work.

Sample answer included in the free materials

Get the materials

Teacher guide, student handout, and slides — free, in Google Docs format

  • Teacher Guide

    Complete lesson plan with answer keys and alternate activities

  • Student Handout

    Printable worksheet

  • Slides

    Ready to present

We'll ask for your email to send your access link — nothing else.

Teaching a group at a different level?

Where are your students right now? We'll rebuild this lesson to match — including the teacher guide, student handout, and slides, saved to your Google Drive.

Adapt This Lesson