Question

the length and breadth of a lawn are in the ratio 2 is to 1 and its area is 288 m square there is a path of width 1 m running inside the long longest boundary find the area of the path brother and sister answer should come 68 m square

Answer 1

Let length = 2x
then breadth = 1x
perimeter =240m
so, 2 (2x+1x)= 240m
4x+2x=240m
so,6x=240m means x= 240/6=40m
then length = 2×40=80m
breadth = 1×40=40m
area of outer park = 80×40 = 3200sq.m
area of inner park = 80-4×40-4= 76×36
= 2736sq.m
area of path = outer park-inner park
= 3200sq.m - 2736sq.m
=464sq.m
cost of paving the path =464×20=Rs.37120