"A plot is 60m long and 40m wide. A path 3m wide is to be constructed around the plot . find the area of the path" This question is in my maths book and the answer is 636m square but I don't understand how
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If the plot is a $60m$ by $40m$ rectangle, then the area of the plot is $2400m^2$. Do you mean the area of the path? – wckronholm Apr 17 '14 at 20:17
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Hint: The total area of the plot and path is $66\times46$. The total area of just the plot is $60\times40$. The difference between the two numbers represents the area of the path. – user130512 Apr 17 '14 at 20:18
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Yeah we should find the area of the path – yomna Apr 17 '14 at 20:19
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How did u get 66 and 46 – yomna Apr 17 '14 at 20:22
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We need to add lengthen each side by $3$m on each end. – amWhy Apr 17 '14 at 20:27
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$$636 = [(60+2\times 3) \times (40 + 2\times 3)] - (60\times 40) $$
That is, the area that is added to the plot after paving a path around plot that is $3$ meters wide is equal to $636$ m$^2$: the area of the new 3m wide path surrounding the original plot.
amWhy
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@yomna: There's 3 m of path north of the plot and another 3 m of path south of it. – hmakholm left over Monica Apr 17 '14 at 20:47
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