Given, Area of rectangular garden =375m2... (i) Sum of the lengths of three sides of garden =65m... (ii) Let length and breadth of the garden be x and ym.
Then, x×y=375m2[ from Eq. (i) ]... (iii) x+y+x=65[ from Eq. (ii)] ⇒2x+y=65 ⇒yy=65−2x... (iv) From Eq. (iv), put y=65−2x into Eq. (iii), we get x⋅(65−2x)=375 ⇒65x−2x2=375 ⇒2x2−65x+375=0 ⇒2x2−50x−15x+375=0 ⇒2x(x−25)−15(x−25)=0 ⇒(x−25)(2x−15)=0 ⇒x=25 or