Math Problem Statement
Solution
To calculate the area of the shape, I can divide it into simpler geometric shapes. This figure can be broken down into two rectangles and one triangle.
Here’s how we can approach this:
-
Bottom Rectangle:
- Dimensions: 9 yards by 3 yards.
- Area: .
-
Top Rectangle:
- Dimensions: 6 yards by 4 yards.
- Area: .
-
Middle Triangle:
- This is a right triangle.
- Base: 6 yards, Height: 6 yards.
- Area: .
Now, summing up all these areas:
So, the area of the shape is 69 square yards.
Do you want more details or have any questions about the process?
Here are some related questions:
- How do you find the area of more complex shapes?
- How would you calculate the perimeter of this shape?
- What happens if the triangle's dimensions change?
- How would this shape's area differ if scaled by a factor of 2?
- Can the shape be broken down differently to calculate the area?
Tip: When breaking down irregular shapes, try to divide them into familiar geometric figures like rectangles, triangles, or trapezoids.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area Calculation
Composite Shapes
Formulas
Area of a rectangle = length × width
Area of a triangle = 1/2 × base × height
Theorems
-
Suitable Grade Level
Grades 6-8
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