Question

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

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

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

$\text{Area of a square} = (side)^2$

Area of lawn = Area of the lawn including the path - Area of the path

i.e. $x^2=(x+5)^2-165$

$x^2=x^2+25+10x-165$

$10x=140$

$x=\frac{140}{10}$

$x=14$

The side of the lawn = 14 m

The area of the lawn is given by,

$\text{Area of a lawn} = (14)^2$

$\text{Area of a lawn} =196\ m^2$

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

#Learn more

A square lawn is surrounded by the path of 2.5 M wide if the area of the path is 165 m square then find the area of the lawn

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