A garden is 90 long and 75 board. A path is 5 metre wide is to be built all around (outside) it along its border. find the area of the path .
please help me in maths.
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Question:
A garden is 90 m long and 75 m broad. A path 5 m wide is to be built outside and around it. Find the area of the path. Also find the area of the garden in hectares.
Solution:
Length of rectangular garden = 90 m and breadth of rectangular garden = 75 m
Outer length of rectangular garden with path
= 90 + 5 + 5 = 100 m
= 75 + 5 + 5 = 85 m
Outer area of rectangular garden with path
= length x breadth = 100 x 85 = 8,500 m²
Inner area of garden without path = length x breadth
= 90 x 75 = 6,750 m²
Now Area of path = Area of garden with path – Area of garden without path
= 8,500 – 6,750
= 1,750 m²
Since, 1 m² =1/10000 hectares
Therefore, 6,750 m² = 6750
= 0.675 hectares
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