Question 930997


{{{(6 + x)(9 + x) = 88}}}

{{{54 + 6x+9x + x^2 = 88}}}

{{{x^2+15x+54 = 88}}}

{{{x^2+15x+54-88=0}}}

{{{x^2+15x-34=0}}}...write {{{15x}}} as {{{-2x+17x}}}

{{{x^2-2x+17x-34=0}}}...group

{{{(x^2-2x)+(17x-34)=0}}}....factor

{{{x(x-2)+17(x-2)=0}}}

{{{(x+17)(x-2)=0}}}

solutions:

if {{{x+17=0}}}=> {{{x=-17}}}...disregard negative solution: we are looking for the length and width

if {{{x-2=0}}}=> {{{x=2}}}

When the length and width are increased, a rectangular patio is {{{11ft}}} by {{{8ft}}} and its area is {{{11ft*8ft=88ft^2}}}