arjtryarjtry wrote:

A square counter top has a square tile inlay in the center, leaving an untiled strip of uniform width around the tile. If the ratio of the tiled area to the untiled area is 25 to 39,which of the following could be the width, in inches, of the strip?

I. 1

II. 3

III. 4

A I only

B II only

C I & II only

D I & III only

E. I,II & III

consider side of smaller square as y and unifiorm width = n

side of larger square = y+2n

area of larger square is A1=(y+2n)^2

Smaller square is A2=y^2 => remaining area= A1-A2=4*n*(y+n)

hence ratio of areas of smaller to remaining is y^2/n*y*(y+n) =25/39=>substitute n= values from options and if we get equations which can be solved then that solution works ,I and II only solve the equations hence C is the answer

OA pls

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cheers

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