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Consider the following statements in respect of a rectangular sheet of length 20 cm and breadth 8 cm:
1. It is possible to cut the sheet exactly into 4 square sheets.
2. It is possible to cut the sheet into 10 triangular sheets of equal area.
Which of the above statements is are correct?
Both 1 and 2
Neither 1 nor 2
The rectangle is of dimensions 20 cm × 8 cm.
Statement I: You may think that as the area of rectangle is not a perfect square, it is not possible to cut it into exactly 4 square sheets. But there’s a catch. The statement never says that the 4 squares have to be equal in area. We can do so as follows:
Statement II: You may think that we can cut the rectangle into 8 triangles of equal area (as shown below), but not in 10.
But again, this can be done. It has been shown below:
Hence, both statements 1 and 2 are correct.
By: Munesh Kumari ProfileResourcesReport error
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