Can some one help me with this question? Answer is A

A rectangular frame with length 18 and width 15 inches. The frame encloses a rectangular picture that has the same area as the frame itself. If the length and width of the picture have the same ratio as the length and width of the frame, what is the length of the picture, in inches?

A)9(2)^1/2

B)3/2

c)9/12

D15(1-1/(2)^1/2

E)9/2

The was I was approaching this question was that I found the ratio of 18:15, that is 6:5

and then trying to find the length with the given answer options to see if i can get the same area as 18*15=270.

I get [9(2)^1/2 *5/6] *9(2)^1/2 which is equal to 135. I dont see how this will be equal to 270. Maybe I dont understand the question properly.

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