Question

A square Garden is surrounded by 1.5 m wide path. find the area of the garden if area of the path is 183 m square

Please explain your answer properly

Answer 1

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Answer 2

The area of garden is 841 sq.m.

Step-by-step explanation:

Let the side of square garden be x

Area of garden =$x^2$

A square Garden is surrounded by 1.5 m wide path.

So, Outer side = x+1.5+1.5=x+3

Outer area =$(x+3)^2$

Area of path = Outer area - Inner area

Area of path =$(x+3)^2-x^2$

Area of the path is 183 m square

So,$183=(x+3)^2-x^2$

$3(2x+3)=183$

x=29

Area of garden = $x^2=29^2 = 841 m^2$

Hence The area of garden is 841 sq.m.

#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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