Question 1067033
Let {{{ h }}} = height  of the printed area
Let {{{ w }}} = width of the printed area
Let {{{ A }}} = the total area of the poster
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(1) {{{ h*w = 32 }}} in2
(2) {{{ A = ( h + 4 )*( w + 8/3 ) }}}
Notice I added twice the margins to height and width
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(2) {{{ A = h*w + 4w + (8/3)*h + 32/3 }}}
and
(1) {{{ h = 32/w }}}
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(2) {{{ A = 32 + 4w + (8/3)*(32/w) + 32/3 }}}
(2) {{{ A = 4w + 256/(3w) + 32 + 32/3 }}}
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Here's a plot of this function:
{{{ graph( 400, 400, -10, 40, -10, 150, 4x + ( 256/3)/x + 32 + 32/3 ) }}}
It looks like for {{{ w = 5 }}}, I get an area of about {{{ 80 }}}
{{{ h*w = 32 }}}
{{{ 5h = 32 }}}
{{{ h = 32/5 }}}
(2) {{{ A = ( h + 4 )*( w + 8/3 ) }}}
(2) {{{ A = ( 32/5 + 4 )*( 5 + 8/3 ) }}}
(2) {{{ A = ( 52/5 )*( 23/3 ) }}}
(2) {{{ A = 1196/15 }}}
() {{{ A = 79.73 }}}
Pretty close
Hope this helps -you can make a table
You could also make Area a function of height
instead of width if you wanted to.