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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
  1. Home/
  2. Mathematics/
  3. Grade 6/
  4. Unit 5/
  5. Composite Figures
Grade 6 · Unit 5Topic 2 of 3~13 min

Composite Figures

Split unusual shapes into simple ones you already know.

All topics in this unit
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 1 · Learn

Walkthrough

Read this first — it covers the idea in plain language with a worked example.

Break it into pieces

A composite figure is made of simpler shapes joined together. Split it into rectangles and triangles, find each area, then add them up.

When there's a hole

If a shape has a piece cut out (like a picture frame), find the outer area and subtract the inner area.

Worked example

An L-shape is an 8 × 6 rectangle with a 3 × 2 corner cut out. Find the area.

  1. →Whole rectangle: 8 × 6 = 48.
  2. →Cut-out corner: 3 × 2 = 6.
  3. →48 − 6 = 42 square units.

Tip

Sketch the figure and label every length before you start — it prevents missed pieces.

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 2 · Watch

Video walkthrough

Watch the main video, then check the second take if you want another explanation.

Khan Academy

Area of Composite Shapes

Split a weird shape into rectangles and triangles.

Watch on YouTube
Math with Mr. J

Area of a Composite Figure

Step-by-step practice with combined shapes.

Watch on YouTube
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 3 · Practice

Practice

Try a worksheet or work through some problems before the quiz.

Khan Academy

Composite area practice

Open resource
πΣ√≠≤+αβΔπΣx²θ÷+
Step 4 · Check

Quick check

A couple of questions to make sure this topic stuck. Retake as many times as you want.

Composite Figures

Question 1 of 2

Medium

An L-shape is an 8 × 6 rectangle with a 3 × 2 corner removed. What is its area?

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Previous · Topic 1 of 3Area of Triangles & Quadrilaterals→Next up · Topic 3 of 3Surface Area & Volume