A path 1m wide is built along the border and inside a rectangular garden of length 7 m and breadth
5m. Find the area of the path. Also find the cost of cementing it at the rate of ₹ 50 per m2
.
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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
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