The area of the rectangle formed by arranging all seven pieces is also 8C. Since the pieces remain unchanged, the total area is the same as the big square, regardless of the arrangement.
Class 6 NCERT Ganita Prakash Chapter 6 Perimeter and Area
class 6 Mathematics Textbook Chapter 6 question answer
When the 7 tangram pieces are rearranged into a rectangle, the total area remains 8 times the area of Shape C. The dimensions of the rectangle may differ from the square, but the pieces are the same, so their combined area does not change. Each piece (A, B, C, D, E, F, and G) retains its original contribution to the total, maintaining the overall area as 8C. This is a basic principle of geometry, where area is conserved.
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