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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.
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Length of rectangular garden $$=90\;\text{m}$$ and breadth of rectangular garden $$=75\;\text{m}$$
Outer length of rectangular garden with path$$=90+5+5=100\;\text{m}$$
Outer breadth of rectangular garden with path $$=75+5+5=85\;\text{m}$$
Outer area of rectangular garden with path $$=$$ length $$\times$$ breadth $$=100\times 85=8,500\;\text{m}^2$$
Inner area of garden without path $$=$$ length $$\times$$ breadth $$=90\times 75=6,750\;\text{m}^2$$
Now, Area of path $$=$$ Area of garden with path $$-$$ Area of garden without path
$$=8,500-6,750$$
$$=1,750\;\text{m}^2$$
Since, $$1\;\text{m}^2=\dfrac{1}{10000}$$ hectares
Therefore, $$6,750\;\text{m}^2=\dfrac{6750}{10000}=0.675$$ hectares.
Outer length of rectangular garden with path$$=90+5+5=100\;\text{m}$$
Outer breadth of rectangular garden with path $$=75+5+5=85\;\text{m}$$
Outer area of rectangular garden with path $$=$$ length $$\times$$ breadth $$=100\times 85=8,500\;\text{m}^2$$
Inner area of garden without path $$=$$ length $$\times$$ breadth $$=90\times 75=6,750\;\text{m}^2$$
Now, Area of path $$=$$ Area of garden with path $$-$$ Area of garden without path
$$=8,500-6,750$$
$$=1,750\;\text{m}^2$$
Since, $$1\;\text{m}^2=\dfrac{1}{10000}$$ hectares
Therefore, $$6,750\;\text{m}^2=\dfrac{6750}{10000}=0.675$$ hectares.
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