Question 378483
{{{h^2 + w^2 = 27^2}}}, and {{{w/h = 4/3}}}.
From the 2nd equation, w = 4h/3.  Hence {{{h^2 + 16h^2/9 = 729}}}.
{{{25h^2/9 = 729}}}, or {{{h^2 = 6561/25}}}, or h = 81/5 = 16.2 inches.  The width is 21.6 inches.