Question 394337
Let {{{h*w}}} = the circumference
Let {{{w}}} = width
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{{{2h + 2w <= 180}}} ft
also,
{{{w <= 30}}}
{{{2h >=180 - 2w }}}
{{{h >= 60}}}
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{{{0 < w <= 30}}}
{{{60 <= h < 90}}}
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When {{{w = 0}}}, {{{h = 90}}}
when {{{w = 30}}},{{{h = 60}}}
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I'll plot {{{w}}} on the horizontal axis
and {{{h}}} on the vertical
so, I have the points
(0,90) and (30,60)
using the point-slope formula,
{{{(h - 60)/(w - 30) = (90 - 60)/(0 - 30)}}}
{{{(h - 60)/(w - 30) = -1}}}
{{{h - 60 = 30 - w}}}
{{{h = -w + 90}}}
I will plot this:
The only part of the line that is valid is the part inside
{{{0 < w <= 30}}}
{{{60 <= h < 90}}}
 {{{ graph( 400, 400, -20, 120, -20, 120, -x + 90) }}}