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A path 1m wide os built …

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A path 1m wide os built along the border and inside a square garden of side 30 m. Find the area of path and the cost of planting grass in the remaining portion of the garden at the rate of 40 per m
  • 1 answers

Yogita Ingle 5 years, 11 months ago

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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