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August 1, 2014

August 1, 2014

Posted by **komal** on Tuesday, April 19, 2011 at 8:44pm.

perimeter of the square is 3cm longer than the perimeter of a resulting triangle.

What is the perimeter of the square?

- maths -
**Mgraph**, Tuesday, April 19, 2011 at 9:41pmLet a-the side of the square, then

sqrt(a^2+a^2)=a*sqrt(2)-diagonal.

On the condition of the problem

4a=2a+a*sqrt(2)+3

a(2-sqrt(2))=3

a=3/(2-sqrt(2))=3(2+sqrt(2))/2

The perimeter of the square=4a=6(2+sqrt(2))=20.49cm

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