a square lawn is surrounded by a 5 metre wide path if the area of the path is 400 metre square find the area of lawn
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let a be the sides of lawn.
then a+10 is the sides of path.
(area of square with sides of a+10)-area of lawn=400
(a+10)²-a²=400
(a+10+a)(a+10-a)=400
2a+10(10)=400
20a+100=400
20a=400-100
a=300/20
a=150 m
sides of lawn is 150.
area=150×150
=22,500 m²
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