Answered

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Question 5
5.1 The diagram above shows a rectangle that has been cut into nine square pieces,
no two being the same size. Given that the smallest piece is 2 cm by 2 cm, figure
out the sizes of the other eight pieces. Explain your reasoning and show all your
work.
5.2 Show that the size of the rectangle is 61 cm by 69 cm.
(10)
(4)
[14]
​

Sagot :

someone761

Answer:

the size of the rectangle is indeed 61 cm by 69 cm.

Explanation:

To figure out the sizes of the other eight pieces in the rectangle that has been cut into nine square pieces, with the smallest piece being 2 cm by 2 cm, we can follow these steps:

1. **Identify the Smallest Piece**: Given that the smallest piece is 2 cm by 2 cm, we can label it as Piece A.

2. **Determine the Other Eight Pieces**:

  - Since the rectangle was cut into nine square pieces, we can visualize the layout and determine the sizes of the other pieces relative to Piece A.

  - By examining the cut lines, we can deduce the dimensions of the other eight pieces. We need to consider how the rectangle was divided to create these pieces.

3. **Calculate the Size of the Rectangle**:

  - To show that the size of the rectangle is 61 cm by 69 cm, we can sum up the areas of all nine pieces to match the area of the original rectangle.

  - By knowing the size of the smallest piece and the dimensions of the other eight pieces, we can calculate the total area of the pieces to verify that it matches the area of the original rectangle.

By following these steps and carefully examining the layout of the pieces, you can determine the sizes of the other eight pieces and confirm that the size of the rectangle is indeed 61 cm by 69 cm.

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