Question 1180466


A rectangular chicken yard was built against an existing
shed wall. 

given area: {{{108m^2 }}}

{{{L*W=108}}} ...solve for {{{L}}}
{{{L=108/W}}}.........eq.1

if {{{30m}}} of fencing was used to enclose , and chicken yard was built against an existing
shed wall, we say that

{{{L+2W=30}}}.........substitute {{{L}}}

{{{108/W+2W=30}}}

{{{108/W+2W-30=0}}}.......both sides multiply by {{{W}}}

{{{108+2W^2-30W=0}}}

{{{2W^2-30W-108=0}}}...simplify

{{{W^2-15W-54=0}}}...factor

{{{(W - 18) (W + 3) = 0}}}

positive solution:
{{{(W - 18)  = 0}}}=>{{{W=18}}}

go to

{{{L=108/W}}}.........eq.1,...substitute {{{W}}}

{{{L=108/18}}}
{{{L=6}}}

 the dimensions of the yard are: {{{18}}} by {{{6}}}