# Q. 2.     A $3\; m$ wide path runs outside and around a rectangular park of length $125\; m$ and breadth $65\; m$. Find the area of the path.

R Riya

It is given that park is  $125\; m$ long and  $65\; m$ broad

It is clear that it is rectangular shaped with $length = 125 \ m \ and \ breadth = 65 \ m$

We know that area of rectangle is $= length \times breadth$

$\Rightarrow length \times breadth = 125 \times 65 = 8125 \ m^2$                   -(i)

Now, length and breadth of outer rectangle is

Area of outer rectangle is

$\Rightarrow length \times breadth = 131 \times 71 = 9301 \ m^2$                              -(ii)

Area of path is (ii) - (i)

$\Rightarrow 9301 - 8125 = 1176 \ m^2$

Therefore,  area of path is $1176 \ m^2$

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