Question 1106697
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<pre>
{{{((y+2w)^2-y^2)/y^2}}} = {{{25/39}}}


It is what you are given, according to the condition.


Simplify:

{{{(1 + 2(w/y))^2 - 1 }}} = {{{25/39}}},

{{{4*(w/y) + 4(w/y)^2}}} = {{{25/39}}}.


Thus you have this quadratic equation for the RATIO  {{{w/y}}}.


You can solve the equation and find this ratio from there.


Notice that the ratio is  <U>THE ONLY thing</U>  which you can obtain from the given data,


          and  <U>you can not obtain dimensions separately</U>,  <U>because there is NO sufficient data for it</U>.
</pre>


To get better understanding of this fact, imagine two geometrically <U>similar</U> configurations.


The "ratio correlations" will be the same, but the real/actual dimensions will be different.



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For similar problems, see the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Surface-area/Problems-on-the-area-of-a-rectangle-surrounded-by-a-strip.lesson>Problems on the area and the dimensions of a rectangle surrounded by a strip</A>

in this site.