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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
  1. Home/
  2. Mathematics/
  3. Grade 6/
  4. Unit 7/
  5. Area Review & Polygons
Grade 6 · Unit 7Topic 1 of 3~13 min

Area Review & Polygons

Use triangles and rectangles to find the area of any polygon.

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.

Splitting polygons

Any polygon can be broken into triangles and rectangles whose areas you already know. Find each piece, then add them together.

Triangle area is ½ × base × height. Pick a base, then measure the height straight down from the opposite point.

Worked example

A hexagon splits into 6 identical triangles, each with area 12 cm². Find the total area.

  1. →Multiply the area of one triangle by how many there are.
  2. →6 × 12 = 72 cm².

Tip

Decide whether a word problem asks for area (covering a surface) or perimeter (going around the edge) before you start.

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 2 · Watch

Video walkthrough

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

Math Antics

Area of Polygons

Find the area of shapes with more than four sides.

Watch on YouTube
Math with Mr. J

Area of Composite Figures

Break a complex shape into simpler pieces.

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

Practice

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

Khan Academy

Geometry 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.

Area Review & Polygons

Question 1 of 3

Easy

Which formula finds the area of a triangle?

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Back toUnit 7 overview→Next up · Topic 2 of 3Nets & Surface Area