Lesson 4 of 8 · Grades 3 to 6
Practice: Area of composite shapes
Ten composite area questions: splitting into rectangles, adding parts, subtracting a removed piece and checking the answer.
How to use this page
This page gives you ten more questions on the same idea as the lesson "Area of composite shapes". Work through them at your own speed. Write your answer down or say it out loud before you open the answer box, so you give yourself a real chance to think.
If a question feels hard, go back to the lesson and look at the worked example again. Getting a question wrong is useful; it shows you the part that needs one more look.
Practice questions
Answer all ten questions in your notebook or in your head. Then open each answer to check your work.
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A shape splits into a 9 cm by 3 cm rectangle and a 4 cm by 2 cm rectangle. What is the total area?
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35 cm². 27 + 8 = 35.
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A garden splits into a 12 m by 5 m rectangle and a 6 m by 4 m rectangle. What is the total area?
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84 m². 60 + 24 = 84.
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A 10 cm by 8 cm rectangle has a 3 cm by 3 cm square removed from one corner. What area is left?
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71 cm². 80 - 9 = 71.
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An L-shape splits into a 6 m by 6 m square and a 5 m by 2 m rectangle. What is its area?
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46 m². 36 + 10 = 46.
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A shape splits into two rectangles of 24 cm² and 15 cm². What is the total area?
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39 cm². 24 + 15 = 39.
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A 20 m by 10 m field has a 6 m by 5 m shed removed from one corner. What area of grass is left?
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170 m². 200 - 30 = 170.
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A floor splits into a 7 m by 4 m rectangle and a 3 m by 3 m square. What is the floor area?
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37 m². 28 + 9 = 37.
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A shape has an area of 60 cm². One part is 25 cm². What is the area of the other part?
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35 cm². 60 - 25 = 35.
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A composite shape is made from three rectangles of 18 m², 12 m² and 9 m². What is its area?
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39 m². 18 + 12 + 9 = 39.
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An L-shaped room splits into a 9 m by 4 m rectangle and a 5 m by 3 m rectangle. What is the total area?
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51 m². 36 + 15 = 51.