a Footpath 1 metre wide is constructed along the border inside a Square Garden of side 30 find the cost of levelling the remaining portion of the garden at the rate of Rs 20 per metre
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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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