A square plot of area 400 $m^2$ is surrounded by a path which is 2 m wide. Find the area of the path.


Given:

A square plot of area 400 $m^2$ is surrounded by a path which is 2 m wide.


To do:

We have to find the area of the path.

Solution:

Area of square plot = 400 sq.m.

Area of square = side $\times$ side

400  =  side $\times$ side 

400  =  side 2   

√400  =  side

Side = 20 m

Side of the square plot = 20 m

Width of path around the plot = 2 m

So, side of outer square = width of path $+$ side of square plot $+$ width of path

Side of outer square = 2 $+$ 20 $+$ 2 m

Side of outer square = 24 m

Area of outer square  =  24 $\times$ 24 m2 

Area of outer square  = 576 $m^2$

Area of path = Area of outer square $-$ Area of square plot

Area of path = (576 $-$ 400) m2 

The area of the path is 176 sq.m.


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Updated on: 10-Oct-2022

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