Math Problem Statement
Answer Please
Solution
To find the perimeter of this shape, we need to add the lengths of all its outer edges.
The labeled dimensions are:
The shape is an L-shape, so it has both vertical and horizontal sides. Some of these sides are not labeled directly, but we can determine their lengths by subtracting other lengths.
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Total Horizontal Distance:
- The bottom side is labeled .
- The top horizontal part consists of two segments: one is (labeled), and the other is .
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Total Vertical Distance:
- The left side is labeled .
- The right vertical side consists of two segments: (labeled) and for the shorter right side.
Now, we add all outer segments:
So, the perimeter is:
This matches the correct answer shown in red.
Would you like a step-by-step breakdown of this solution or any further clarification?
Here are five related questions to deepen your understanding:
- How would you calculate the area of this L-shaped figure?
- What if one side of the L-shape was unknown? How would you approach finding its perimeter?
- How can we verify the perimeter of composite shapes using smaller rectangles?
- What is the difference between calculating the perimeter and the area of a shape?
- Can you think of other shapes where subtraction helps in finding missing lengths?
Tip: When dealing with composite shapes, break them down into smaller parts to calculate unknown sides or other measurements accurately.
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Math Problem Analysis
Mathematical Concepts
Geometry
Perimeter Calculation
Composite Shapes
Formulas
Perimeter of Composite Shapes: Sum of all outer edges
Theorems
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Suitable Grade Level
Grade 5