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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 hectare.

Q. 1.     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 hectare.

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R Riya

It is given that the garden is 90\; m long and 75\; m broad

It is clear that it is rectangular shaped with lenght = 90 \ m \ and \ breath = 75 \ m

We know that the area of the rectangle is = lenght \times breath

\Rightarrow lenght \times breath = 90 \times 75 = 6750 \ m^2 = 0.675 \ ha                   -(i)

Now, length and breadth of the outer rectangle is



Area of the outer rectangle is 

\Rightarrow lenght \times breath = 100 \times 85 = 8500 \ m^2                              -(ii)

Area of the path is (ii) - (i)

\Rightarrow 8500 - 6750 = 1750 \ m^2

Therefore, the area of the path is 1750 \ m^2
 

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