Question 1196616
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Let w be the width, in centimeters.

Then the length is 2w cm.


After changing the dimensions, they become (w-1) cm and (2w-2) cm.

The area equation is

    (w-1)*(2w-2) = 15.


Simplify and solve it MENTALLY

    2*(w-1)*(w-1) = 15

      (w-1)^2 = 15/2 = 7.5

       w-1 = {{{sqrt(7.5)}}}

       w = {{{1 + sqrt(7.5)}}} = 3.74 cm.


<U>ANSWER</U>.  The dimensions of the original rectangle are  3.74 cm (the width)  and  2*3.74 = 7.48 cm (the length).
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Solved.