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Grade 5/Geometry

Composite Rectangle Garden Areas: Multiple Choice

Break L-shaped garden layouts into two smaller rectangles, compute each area, and add them together to find the total space.
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Practice Questions

  1. The Butterfly Garden plaza can be split into 2 rectangles. Rectangle A measures 12 m by 6 m, Rectangle B measures 12 m by 4 m. What is the total area of this garden in square meters? 🦋
    Show answer

    (B) 120 sq m

  2. The Sunny Snack patio can be split into 2 rectangles. Rectangle A measures 10 m by 5 m, Rectangle B measures 6 m by 5 m. What is the total area of this garden in square meters? 🍊
    Show answer

    (B) 80 sq m

  3. The Carnival check-in deck can be split into 2 rectangles. Rectangle A measures 14 m by 4 m, Rectangle B measures 6 m by 4 m. What is the total area of this garden in square meters? 🎟️
    Show answer

    (C) 80 sq m

  4. The Carousel craft corner can be split into 2 rectangles. Rectangle A measures 9 m by 7 m, Rectangle B measures 9 m by 3 m. What is the total area of this garden in square meters? 🎠
    Show answer

    (B) 90 sq m

  5. The Sunflower art yard can be split into 2 rectangles. Rectangle A measures 11 m by 8 m, Rectangle B measures 5 m by 8 m. What is the total area of this garden in square meters? 🌻
    Show answer

    (C) 128 sq m

Teacher Resources
Standards
CCSS.MATH.CONTENT.3.MD.C.5
Teaching Notes

Emphasize decomposing L-shapes into familiar rectangles. Guide students to label dimensions for each smaller shape before calculating area.

Vocabulary
Composite shape: A shape made of two or more simpler shapes.
Area: The space enclosed within a shape.
Common Mistakes
  • Adding side lengths instead of areas
  • Forgetting to multiply one rectangle before adding
  • Dropping square units in the final answer
  • Mislabeling dimensions
  • Incorrect multiplication
  • Forgetting square units
  • Adding partial areas incorrectly
Differentiation
SupportProvide pre-drawn decomposition lines.
ChallengeInclude challenges with missing side lengths.
Discussion Questions
  • Why is area measured in square units?
  • Can L-shapes be split differently?
  • When might you use this skill?
  • How does multiplication help here?
Extension Activities
  • Find the perimeter of composite shapes.
  • Create your own composite shapes.
  • Calculate area of shapes with missing parts.
Parent Tip

Use graph paper to draw composite shapes and find their areas.

Learning Path
Skill Cluster

Geometry & Measurement

Estimated Time

18 minutes

Skills Practiced
Decomposing L-shaped figures into rectanglesComputing area with multiplication sentencesAdding partial areas with unitsInterpreting composite shape word problems