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Example 1: A garden is 90 m long and 75 m broad. A path 5 m wide is to
be built outside and around it. We have to find the area of the path and
also area of the garden in hectare.
Solution:
From the question it is given that,
Length of the garden (L) = 90 m
Breadth of the garden (B) = 75 m
Then,Area of the garden = length × breadth
2
=> 90 × 75= 6750 m
From the figure,
The new length and breadth of the garden when path is included is 100 m and 85 m
respectively.
2
New area of the garden = 100 × 85= 8500 m
The area of path = New area of the garden including path – Area of garden
2
=>8500 – 6750= 1750 m
2
For 1 hectare = 10000 m
6750
Hence, area of garden in hectare = = 0.675 hectare
10000