A Square lawn is surrounded by a path 2.5 m wide. If the area of the path is 165 m, find the area of the lawn.
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Answer:
SOLN:
Here
square lawn surrounded by path = 2.5 m
area of path = 165 m^2
side of the lawn=x
side of the lawn including path =x+2 (2.5)=x+5
area of square=side*side
Now,
or,x^2= (x+5)-165
or,x^2=(x^2+10x+25)
or, x^2=140-x^2=10x
or, -140x=-10x
or, x= 140/10=14
:. The area of the lawn is 14 metre .
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