Question

A $3\text{m}$ wide path runs outside and around a rectangular park of length $125\text{m}$ and breadth $65\text{m}$. Find the area of the path ?

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Solution

Finding area of the path : For this first we find the area of the park and then we find the area of the park including path . For finding the area of the path we subtract the area of the park from the area of the park including path .Step 1: Here first we find the area of the park .Length of the park $=125\text{m}$Breadth of the park $=65\text{m}$Area of the park $=\text{length×breadth}$ $=125×65=8125{\text{m}}^{2}$Step 2: Now we find the area of the park including the path Here, new length of the park including path $=125+3+3=131\text{m}$and Breadth of the park including path $=65+3+3=71\text{m}$Area of the park including path $=\text{length×breadth}$ $=131×71=9301{\text{m}}^{2}$Step 3: Now area of the path $=\text{areaoftheparkincludingpath-areaofthepark}$ $=9301-8125=1176{\text{m}}^{2}$Hence area of the path is $1176{\text{m}}^{2}$

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