Math Problem Statement
What is the area of this figure??
Solution
To calculate the area of the given figure, we can break it into two rectangles:
Dimensions
-
The lower rectangle:
- Width:
- Height:
- Area:
-
The upper rectangle:
- Width:
- Height: (since 14 ft includes the height of both rectangles)
- Area:
Total Area
Adding the two areas:
Thus, the total area of the figure is 86 square feet.
Would you like a detailed breakdown or clarification on any step? Here are five related questions to consider:
- How would the calculation change if one dimension were increased or decreased?
- What is the perimeter of this figure, given the same dimensions?
- How do you determine dimensions of complex shapes from simpler parts?
- Could you calculate the area using another method, like dividing it differently?
- How would scaling the figure proportionally affect the area?
Tip: When calculating areas of composite shapes, always break them into simpler rectangles, triangles, or other standard shapes for accuracy!
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Math Problem Analysis
Mathematical Concepts
Geometry
Composite Figures
Area Calculation
Formulas
Area of a rectangle = width × height
Area of composite figures = sum of areas of individual shapes
Theorems
-
Suitable Grade Level
Grades 5-8
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