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Second/Geometry

Area of L-Shaped Figures

Find the area of L-shaped figures by decomposing them into two rectangles and adding the partial areas.
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Practice Questions

  1. What is the area of this shape in square inches?
    Show answer

    (A) 93 square inches

  2. What is the area of this shape in square feet?
    Show answer

    (B) 142 square feet

  3. What is the area of this shape in square meters?
    Show answer

    (D) 79 square meters

  4. What is the area of this shape in square yards?
    Show answer

    (A) 177 square yards

  5. What is the area of this shape in square feet?
    Show answer

    (C) 107 square feet

Teacher Resources
Standards
CCSS.MATH.CONTENT.3.G.A.1
Teaching Notes

Teach students to visualize splitting L-shapes vertically or horizontally. Emphasize labeling partial areas and applying correct units.

Vocabulary
L-shape: A shape like the letter L.
Decompose: Break a shape into smaller parts.
Common Mistakes
  • Multiplying the wrong pairs of side lengths.
  • Forgetting to add both rectangle areas.
  • Dropping the square-unit label in the final answer.
  • Mixing up rectangle dimensions
  • Incorrectly decomposing figures
  • Forgetting to add partial areas
  • Incorrectly labeling units
Differentiation
SupportUse grid paper to draw shapes and count individual squares.
ChallengeChallenge students to solve by subtracting an 'empty' rectangle.
Discussion Questions
  • How many ways can you decompose an L-shaped figure?
  • Why is it important to label your partial rectangles?
  • When might you need to find the area of an L-shape in real life?
  • How is finding area different from finding perimeter?
Extension Activities
  • Find area of U-shapes.
  • Find area of T-shapes.
  • Calculate perimeter of L-shapes.
Parent Tip

Use blocks to build L-shapes and find their area.

Learning Path
Skill Cluster

Measurement and Geometry

Estimated Time

18 minutes

Skills Practiced
Splitting rectilinear figures into rectanglesComputing area with multiplicationAdding partial areas with unitsInterpreting labeled diagrams