A path 1m wide is built along the border and inside a rectangular gard

1.	A path 1m wide is built along the border and inside a rectangular garden of length 7 m and breadth5m. Find the area of the path. Also find the cost of cementing it at the rate of ₹ 50 per m2.
Answer» Answer: 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

A path 1m wide is built along the border and inside a rectangular garden of length 7 m and breadth5m. Find the area of the path. Also find the cost of cementing it at the rate of ₹ 50 per m2.

Answer»

Answer:

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