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Question

A square is cut along its diagonal into four triangles and these are arranged on another square of same area to form a larger square. The area of the larger square is 32 sq.units. Then the area of the original square is _____.

,


A

32 sq.units

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B

16 sq.units

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C

8 sq.units

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D

14 sq.units

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Solution

The correct option is B

16 sq.units


If a square is cut along its diagonal into four triangles and these are arranged on another square of same area to form a larger square, then the area of the larger square is double the area of the original square.

Given that the area of the larger square formed by joining the 2 squares is 32 sq.units

So, the area of the original square is 16 sq.units.


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