Question 945714

 

{{{L=16ft}}} ,{{{W=15ft}}}

 to make a pavement, {{{x}}}ft is deducted from each side; so, {{{2x}}} from the length and {{{2x}}} from the width

{{{A=(L-2x)*(W-2x)}}}

{{{132=(16-2x)*(15-2x)}}}

{{{132=240-31x-30x+4x^2}}}

{{{132=240-61x+4x^2}}}

{{{0=240-132-61x+4x^2}}}

{{{4x^2-61x+108=0}}}

 =>{{{x= 2}}} or {{{x = 27/2=13.5}}} (this one is to high and we cannot use it)
we can use only  =>{{{highlight(x= 2)}}} 

and dimensions of the 132 square feet  plot are:
{{{L[plot]=16ft-2*2ft =12ft}}}

{{{W[plot]=15ft-2*2ft=11ft}}}

check the area:
{{{12ft*11ft=132ft^2}}} as given