Math Problem Statement
根据下面图片,求出答案
Solution
It seems there was an issue with the OCR process for extracting text from the image. However, I can still help solve the problem described in the image based on the visual content.
The problem involves calculating the perimeter of a rectangle that is divided into smaller rectangles, with the length of the smaller rectangles given.
Given:
- The height of one of the smaller rectangles is .
Let's break down the problem step by step:
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Understand the layout:
- There are 4 identical rectangles arranged to form a larger square.
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Dimensions of smaller rectangles:
- Each smaller rectangle has a height of .
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Dimensions of the larger square:
- The height of two smaller rectangles stacked vertically will be .
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Perimeter calculation:
- The perimeter of the original smaller rectangle can be found using the total height and width of the arrangement.
- For a smaller rectangle:
- If the height is , and assuming the arrangement forms a square when four rectangles are placed together, the width can be derived from the larger square's side.
- The side of the larger square is .
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Assumption:
- If the larger square side is , the original smaller rectangle dimensions would be (height) and (width).
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Final perimeter calculation:
- Perimeter of the smaller rectangle
Therefore, the perimeter of one of the smaller rectangles is .
Would you like more details or have any questions about this problem?
Here are five questions you can ask next:
- How do you calculate the area of a composite shape?
- What are the properties of similar rectangles?
- How can you find the length of the diagonal of a rectangle?
- What is the formula for the perimeter of a polygon?
- How do you solve problems involving nested shapes?
Tip: Always double-check the given dimensions and relationships in geometric problems to ensure accurate calculations.
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Math Problem Analysis
Mathematical Concepts
Geometry
Rectangles
Perimeter Calculation
Formulas
Perimeter of a rectangle: 2 * (length + width)
Theorems
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Suitable Grade Level
Grades 5-7
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