Question 908076
Let the width  be x															
..															
Length   of	courtyard		15	yards											
width of  	courtyard		8	yards											
															
Area =			120		sq. yards										
Area of 	plot		260	sq. yards											
length of 	courtyard	&	plot				15	+	2	x 					
width of	courtyard	&	plot	8	+	2	x								
															
(	15	+	2	x	)	(	8	+	2	x	)	+	0	=	260
															
	120	+	30	x	+	16	x	+	4	X^2		+	0	=	260
	4X^2		+	46	x	+	-140	=	0			/2
2x^2+23x-70=0

2x^2+28x-5x-70=0

2x(x-14)-5(x-14)=0

(2x-5)(x-14)=0

x=5/2 OR 14

14 is not applicable
 Hence width = 2.5 yards