Question 1205624
given :

 patio is: {{{L=12}}} by {{{W=10}}}

He wants to increase the patio by adding a decorative tile the same width ({{{x}}}) all the way around creating a total area of 180ft^2 .

He will add {{{x}}} to both ends of the length and to both ends of the width

{{{L=12+2x }}}
{{{ W=10+2x}}}

than the area is

{{{(12+2x)(10+2x)=180}}}

{{{12*10+12*2x+2x*10+2x*2x=180}}}

{{{120+24x+20x+4x^2=180}}}

{{{4x^2+44x+120-180=0}}}

{{{4x^2+44x-60=0}}}


answer: 

E {{{4x^2 + 44x -60 = 0}}}