Question 1025580
Length = (x+7)
width = (x+1)

Area = L * W

(x+7)(x+1) =65

{{{x^2+8x+7 =65}}}

{{{x^2+8x -58=0}}}


y=1x2+8x−58 discriminant=b2−4(a)(c)=82−4(1)(−58)=296 ( 2 real solutions )  

 


−b± sqrt(b2−4(a)(c))/√2(a)


−8±82−4(1)(−58)/2(1)

−8±296/2

=−8±4×74   /2

=−8±274  /2

=−4±174

=−4±174 

 


x=4.602325267042627 x=−12.602325267042626 

ignore negative

x=4.6

length = 11.6 & width = 5.6