Question 789771
(4m^2+1), (3m-4), (2m+6), (4m^2+2m+1)

(4m^2+1)+(3m-4)+ (2m+6)+ (4m^2+2m+1)=160


add up like terms

4m^2+4m^2+3m+2m+2m+1-4+6+1=160

8m^2+7m+4=160

8m^2+7m-156=0

a=	8	,	b=	7	,	c=	-156
							
b^2-4ac=	49	+	4992				
b^2-4ac=	5041						
{{{	sqrt(	5041	)=	71	}}}		
{{{x=(-b+-sqrt(b^2-4ac))/(2a)}}}							
{{{x1=(-b+sqrt(b^2-4ac))/(2a)}}}							
x1=(	-7	+	71	)/	16		
x1=	4.00						
{{{x2=(-b-sqrt(b^2-4ac))/(2a)}}}							
x2=(	-7	-71	) /	16			
x2=	-4.88						

the sides cannot be negative

so x=4

Plug 4 in all the sides to get the lengths