Question 729258
Let the width of sidewalk be x															
..															
Length of garden =			24	m  											
Width =			12	m  						Total area - area of garden =135.64					
															
Area =			288		m^2										
Area of sidewalk =			135.64	m^2											
Length of ground + sidewalk =							24	+	2	x 					
width of ground + sidewalk =				12	+	2	x								
															
(	24	+	2	x	)	(	12	+	2	x	)	+	-288	=	135.64
															
	288	+	48	x	+	24	x	+	4	X^2		+	-288	=	135.64
	4	X^2		+	72	x	+	-135.64	=	0					
	Find the roots of the equation by quadratic formula														
	a=	4	b=	72	c=	-135.64									
	b^2-4ac=	5184	-	-2170.24											
	b^2-4ac=	7354.24			{{{sqrt(	7354.24	)}}}=	85.76							
	{{{x=(-b+-sqrt(b^2-4ac))/(2a)}}}														
	{{{x1=(-b+sqrt(b^2-4ac))/(2a)}}}														
	x1=(	-72	+	85.76	)/	8									
	x1=	1.72													
	x2=(	-72	-85.76	) /	8										
	x2=	-15.5													
	Ignore negative value														
	width of sidewalk =		1.72	m