A square plot has a 3m wide path surrounding it. If the area of the path is 132 sq. M, find the area of the plot
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let the area of the plot is a²
then area of total plot including path is
=(a+3)²
then the area of the path is (a+3)²-a²
then
(a+3)²-(a)²=132
or (a+3+a)(a+3-a)=132
or (2a+3)*3=132
or 2a+3=44
or 2a=41
or a=20.5
then area of the plot=(20.5)²
=420.25.........(ans)
then area of total plot including path is
=(a+3)²
then the area of the path is (a+3)²-a²
then
(a+3)²-(a)²=132
or (a+3+a)(a+3-a)=132
or (2a+3)*3=132
or 2a+3=44
or 2a=41
or a=20.5
then area of the plot=(20.5)²
=420.25.........(ans)
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