Question 192009
<font face="Tahoma" size=1.5>
</pre><font size=4><b>
Golden Ratio: {{{L/W=8/5}}}


And the painting, {{{L= W+2ft}}}, Length is 2 ft longer than Width.
Substitute this "L" to our Golden Ratio:


{{{highlight(W+2ft)/W=8/5}}}


Cross multiply,
{{{(5)(W+2)=(8)(W)}}}
{{{5W+10=8W}}}
{{{10=8W-5W}}}
{{{10=3W}}} -----> {{{10/3=cross(3)W/cross(3)}}}
{{{red(W=(10/3)ft)}}}}Width


So, {{{L=W+2=10/3+2=(10+6)/3}}}
{{{red(L=(16/3)ft)}}}} Length


Let us check on our Golden Ratio:
{{{8/5=L/W=(16/3)/(10/3)}}}
{{{8/5=(16/cross(3))(cross(3)/10)}}}
{{{8/5=16/10}}}
Reduce left term by dividing both num.&den. by "2":
{{{8/5=cross(16)8/cross(10)5}}}
{{{highlight(8/5=8/5)}}}



Thank you,
Jojo</font>