Question 1089101
Dimensions of the smaller rectangle, x and y.
Dimensions of larger rectangle, kx and ky.


{{{system(xy=72,x^2+y^2=12^2)}}}


{{{system(k^2*xy=U,k^2*x^2+k^2*y^2=22^2)}}}

{{{(k^2)(x^2+y^2)=22^2}}}

{{{k^2*12^2=22^2}}}

{{{k^2=(22^2)/(12^2)}}}

{{{k=22/12}}}

{{{highlight_green(k=11/6)}}} and {{{highlight_green(k^2=121/36)}}}.


Area of rectangle EFGH  is {{{highlight((121/36)72=highlight(242))}}}.