Math Problem Statement
Solution
To calculate the area of the given shape, we can divide the irregular shape into two rectangles, calculate their areas separately, and then add them together.
Step 1: Split the Shape
-
Bottom Rectangle:
- Width = 6 cm
- Height = 4 cm
- Area =
-
Top Rectangle:
- Width = 4 cm
- Height = 2 cm
- Area =
Step 2: Add the Areas
Total Area = Area of Bottom Rectangle + Area of Top Rectangle
Final Answer:
The area of the shape is 32 cm².
Do you want further explanation or a breakdown of the process? Here are some related questions:
- How do you determine the dimensions for more complex irregular shapes?
- What are the typical steps for splitting shapes into rectangles?
- Could this method be applied to other shapes like triangles or circles?
- How does scaling affect the calculation of areas?
- Are there formulas to directly find the area of more complicated shapes?
Tip: Always verify the units and ensure all dimensions match (e.g., cm² for area).
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Math Problem Analysis
Mathematical Concepts
Geometry
Area Calculation
Decomposing Shapes
Formulas
Area of a rectangle = width × height
Theorems
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Suitable Grade Level
Grades 4-6
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