# 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.

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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