Question

5. A path 1 m wide is built along the border and inside a square garden of side 30 m. Find:
(i) the area of the path
(ii) the cost of planting grass in the remaining portion of the garden at the rate of
40 per m.
pls help..thanks​

Answer 1

Let ABCD, the square garden of side= 30 m.
PQRS is the region inside the garden.
so,
PQ = (30 -1-1 ) = 28 m
also
PS = ( 30 – 1 – 1 ) = 28 m 

(i) Area of the path = Area of ABCD – Area of PQRS 
= [( 30 x 30) – (28 x 28)]
= 900 – 784 
= 116 sq.m 

(ii) Area of the remaining portion in which the grass is planted = Area of square PQRS 
= 28 x 28 
= 784 sq.m 

cost of planting the grass in the region PQRS =  area x cost = 764 x 40
 =31,360