# A square lawn is surrounded by a 5 m wide path. If the area of the path is 400 m², find the area of the lawn. Answer as s

A square lawn is surrounded by a 5 m wide path. If the area of the path is 400 m², find the area of the lawn. Answer as soon as possible and answer correctly with explanation​

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The area of the lawn is 196 meter square.

Step-by-step explanation:

Given : A square lawn is surrounded by a path 5 m wide. If the area of the path is 400 m square.

To find : The area of lawn ?

Solution :

Let the side of the lawn be x .

Width of the path = 5 m

Side of the lawn including path is x+2(5)=x+10

Area of lawn = Area of the lawn including the path – Area of the path

i.e.

The side of the lawn = 14 m

The area of the lawn is given by,

Therefore, the area of the lawn is 196 meter square.