Question 874164
2x+2y=14 and 6x+6y=42, and xy=10.
This seems like we only need one, the smaller rectangle, and its area; until later....


x+y=7 and xy=10.
{{{y=7-x}}};
{{{x(7-x)=10}}}
{{{-x^2+7x-10=0}}}
{{{x^2-7x+10=0}}}
{{{(x-2)(x-5)=0}}}
The dimensions are 2 and 5 for the smaller rectangle.


The proportionality for similarity, {{{42/14}}}, is found to be 3, linearly, so the larger rectangle dimensions are {{{2*3=6}}} and {{{5*3=15}}}
Meaning the area of the larger rectangle is {{{highlight(6*15=90)}}}