Math Problem Statement
Solution
The image shows a composite shape made of two rectangles, and the goal is to find the area. We can break it down into two simpler parts:
-
Top Rectangle:
- Width = 36 inches
- Height = 36 inches
- Area of the top rectangle =
-
Bottom Rectangle:
- Width = 72 inches
- Height = 18 inches
- Area of the bottom rectangle =
Now, we add the areas of the two rectangles to get the total area:
Thus, the total area of the shape is 2592 square inches.
Would you like more details or have any questions?
Here are five related questions:
- How do you find the perimeter of this shape?
- What would be the area if the top rectangle’s height were doubled?
- How would the area change if the bottom rectangle's width were reduced by half?
- How can you express the total area in square feet instead of square inches?
- Can the shape be divided differently to find the area?
Tip: Breaking complex shapes into smaller rectangles or triangles is a helpful strategy to simplify area calculations.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area Calculation
Composite Shapes
Formulas
Area of a rectangle = width × height
Theorems
Decomposition of composite shapes
Suitable Grade Level
Grades 6-8
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