What is the area of square ABCD ?
(1) The length of the side of square ABCD is 2.
(2) For square EFGH, which has sides that are 6 longer than those of square ABCD, the ratio of the perimeter to the area is the reciprocal of the corresponding ratio for square ABCD.
I do not have OA.
1) is clearly suff
2) P/A -----> (6x*4)/6x^2 ---> .............. help
Answer is D
Lets say the side of square ABCD is x & side of square EFGH is x+6Ratio of Perimeter to area of Square EFGH= Ratio of area to the perimeter of ABCD
--->LHS = RHS
--> \(4(x+6)/(x+6)^2 = (x^2)/4x\)
--> 4/(x+6) = x/4
--> \(x^2 + 6x -16 = 0\)
Solving above equation we get x = either 2 or -8. As side can't be negative, x = 2-----Sufficient.
Hope its clear.
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