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Which of the following resources/TLM can...

Which of the following resources/TLM can be used by the teacher to show that two rectangles of different dimensions can have same area without using formula?
  A. Scale    B. Graph paper
C. Thread   D. Tiles

A

Only B

B

B and D

C

Only C

D

A and D

Text Solution

AI Generated Solution

The correct Answer is:
To determine which resource can be used by the teacher to demonstrate that two rectangles of different dimensions can have the same area without using a formula, we will analyze each option step by step. ### Step-by-Step Solution: 1. **Understanding the Problem:** We need to show that two rectangles can have the same area despite having different dimensions. This can be done visually or through counting methods rather than using the area formula. **Hint:** Think about how we can visualize or count the area without calculations. 2. **Evaluating Option A: Scale** A scale is a measuring tool that allows us to measure lengths. While it can help in measuring the sides of the rectangles, it does not help in demonstrating the area directly. **Hint:** Consider what a scale can measure and what it cannot. 3. **Evaluating Option B: Graph Paper** Graph paper consists of a grid of squares. By drawing rectangles on graph paper, we can count the number of squares that the rectangles cover. This method visually demonstrates that different rectangles can occupy the same number of squares, hence having the same area. **Hint:** Think about how counting squares can represent area. 4. **Evaluating Option C: Thread** A thread can be used to measure lengths, similar to a scale. However, like the scale, it does not provide a way to visualize or count the area of rectangles. **Hint:** Reflect on the limitations of using thread for area representation. 5. **Evaluating Option D: Tiles** Tiles can be used in a similar way to graph paper. By placing tiles to cover the rectangles, we can count the number of tiles used. This method effectively shows that rectangles of different dimensions can cover the same area if they use the same number of tiles. **Hint:** Consider how physical objects like tiles can represent area visually. 6. **Conclusion:** Both graph paper and tiles can be used to demonstrate that two rectangles can have the same area without using a formula. However, since the question asks for a single option, we can conclude that **Option B (Graph Paper)** is a suitable choice for this demonstration. ### Final Answer: **B. Graph Paper**
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