The figure below shows two paths drawn inside a rectangular field 50 m long and 35 m wide. The width of the path is 5 m. Find the area of the path.
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Given:

The length and breadth of the rectangular field is \( 50 \mathrm{~m} \) and \( 35 \mathrm{~m} \) respectively.

Width of the path$=5\ m$

To do:

We have to calculate the area of the path.

Solution:

Total area of the path$=$Sum of the area of each path$-$ Area of the square path in between. (We subtract the area of the square part because it gets added while calculating the area of each path)

Length of one of the path$=$Length of the rectangle$=50\ m$

Length of the other path$=$Breadth of the rectangle$=35\ m$

Width of each path$=5\ m$

Total area of the paths$=50\times5+35\times5-5^2\ m^2$ .

$=250+175-25\ m^2$

$=400\ m^2$

The area of the path is $400\ m^2$.

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Updated on: 10-Oct-2022

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