Math With Mr DJ

Grade 7 · Geometry · 7.G.B.6

Area of Composite Figures Worksheets

Free, printable, and ready to teach: a practice worksheet, homework, an exit ticket, and an answer key with step-by-step solutions — plus lesson slides you can edit. No sign-up needed.

First page of the area of composite figures practice worksheet Open the practice worksheet

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PDFs print on US Letter paper. Free for classroom and home use.

Watch: Perimeter and Area of Rectangles Explained
Key idea

Decompose into shapes you know and add, or compose a whole and subtract what is missing. Before using any length, ask which piece it belongs to and whether it is a radius or a diameter.

Sample problems

  1. Find the area of a rectangle 9 cm by 4 cm.
  2. Find the area of a triangle with base 9 cm and height 6 cm.
  3. A shape is that rectangle with that triangle on top. Find the total area.
  4. Find the area of a semicircle with radius 4 cm.

Common mistakes to watch for

  • Added to get 16, or gave the perimeter of 32.
  • Used 6 as the radius. The number given is the width of the rectangle, which is the full span of the semicircle.
  • Added the two areas to get 111, which exceeds the whole rectangle — impossible when part has been removed.

The answer key explains each one, so you can tell what a wrong answer means.

How to use this set

  1. Teach with the slides (about 15 minutes), or watch the video together.
  2. Practice with the worksheet. Questions climb from fluency to application to reasoning.
  3. Check understanding with the exit ticket, and send the homework home.
  4. Mark with the answer key — each answer shows the steps and the most likely mistake.

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