Q19 of 99 Page 264

If the area of square is A1 sq. units and the area of square drawn on the diagonal of that square is A2 sq. unit, then the ratio of A1 : A2 is

Let the side of square A1 be ‘L’


We know,


Area of square = (side)2


A1 Area = L2


Also, we know Diagonal of square = L√2


Area of square drawn on diagonal A2 = (a√2)


= 2L2


Ratio of A1:A2 is L2:2L2 = 1:2

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