Math Problem Statement
Solution
To calculate the area of the given shape, we can split it into two parts as suggested: a rectangle and a triangle.
-
Rectangle Dimensions:
- Width =
- Height =
The area of the rectangle is calculated as:
-
Triangle Dimensions:
- Base =
- Height =
The area of the triangle is calculated as:
-
Total Area: The total area is the sum of the areas of the rectangle and the triangle:
Final Answer: The total area of the shape is 68 cm².
Would you like further clarification or assistance with similar problems? Here are five related questions you might find helpful:
- How do you calculate the area of more complex composite shapes?
- What are the formulas for finding areas of various 2D shapes?
- How would the area calculation change if the triangle were not right-angled?
- How can you verify the area calculation using other methods?
- Can this approach be applied to real-world problems, like finding the area of irregular plots of land?
Tip: Always ensure dimensions are consistent (e.g., in the same units) when calculating areas!
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Math Problem Analysis
Mathematical Concepts
Geometry
Area of composite shapes
Basic arithmetic
Formulas
Area of a rectangle = width × height
Area of a triangle = 1/2 × base × height
Theorems
N/A
Suitable Grade Level
Grades 6-8
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