Question

A path 1m wide is built along the border inside a square garden of side 4m. Find the area of path and the cost of planting the grass in the remaining portion of the garden at the rate of rs50 per m square

Answer 1

Let ABCD, the square garden of side= 4m.
PQRS is the region inside the garden.
so,
PQ = (4 -1-1 ) = 2 m
also
PS = ( 4 – 1 – 1 ) = 2m 

(i) Area of the path = Area of ABCD – Area of PQRS 
= [( 4*4) – (2*2)]
= 16 – 4
= 12 sq.m 

(ii) Area of the remaining portion in which the grass is planted = Area of square PQRS 
= 2x 2
= 4 sq.m 

cost of planting the grass in the region PQRS =  area x cost = 4 x 50
 =200rs