Sun August 26, 2012 By:

the diagonal of a square A is (a+b) . Find the diagonal of square B whose area is twice the area of A.

Expert Reply
Sun August 26, 2012
Let x be the side of square a.
Diagonal = (root 2)x
Therefore, a + b = (root 2)x
This gives x = (a + b) / (root 2)
Hence, Area of square A = x= (a + b)2 / 2
Given, Area of square B = 2 Area of square A 
So, Area of square B = (a + b)2 
Hence, side of square B = a + b
Now, you can easily find the diagonal of the square B.
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