Question 183666
{{{8/20 = 2/5}}}
{{{A[1] = 20*8}}} in2
{{{A[1] = 160}}} in2
{{{A[2] = 4*160}}} in2
{{{A[2] = 640}}} in2
Let the dimensions of the new flag = {{{a}}} and {{{b}}}
{{{a/b = 2/5}}}
multiply both sides by {{{5b}}}
{{{5a = 2b}}}
{{{a = (2/5)*b}}}
{{{A[2] = a*b}}}
{{{A[2] = (2/5)*b*b}}}
{{{640 = (2/5)*b^2}}}
{{{b^2 = (5/2)*640}}}
{{{b^2 = 1600}}}
{{{b = 40}}}
and, since
{{{a = (2/5)*b}}}
{{{a = (2/5)*40}}}
{{{a = 16}}}
The dimensions of the new flag are 40 in by 16 in