Math Problem Statement
Solution
The image shows a composite shape that consists of two rectangles joined together. To find the total area of this shape, we need to calculate the area of each rectangle individually and then add them together.
Step-by-step:
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Dimensions of the first rectangle (left side):
- Length = 13 inches
- Width = 12 inches
- Area of this rectangle = square inches.
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Dimensions of the second rectangle (right side):
- Length = 10 inches
- Width = 10 inches
- Area of this rectangle = square inches.
-
Total Area:
So, the total area of the composite shape is 256 square inches.
Do you want further details or have any other questions?
Here are 5 relative questions to expand on this:
- What if the dimensions of one rectangle changed, how would that affect the total area?
- How do you calculate the perimeter of this composite shape?
- Could you split other irregular shapes into simpler shapes for easier area calculation?
- What is the formula for finding the area of a triangle, and how does it differ from rectangles?
- Can you explain how to find the area of circles or sectors of circles?
Tip: Always break down complex shapes into smaller, familiar shapes (like rectangles, triangles, etc.) for easier calculation!
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Math Problem Analysis
Mathematical Concepts
Geometry
Area of Composite Shapes
Formulas
Area of a rectangle = length × width
Theorems
Area Addition Postulate
Suitable Grade Level
Grades 6-8