A memorial lawn at the crematorium is square and has an area of 81 square metres. The path around the lawn is 1 metre wide. What is the area of the concrete path which surrounds the lawn?
For the 9m... is it 9m^2? or just leave it like that?
From where did you get 9m ??
Did you read the end of my reply?
There is no need to get any variables involved, this is simply an arithmetic question.
again:
each side of the lawn is 9 m , the area is 81 m^2
each side of the whole bigger square including the path
is 10 m, so the area of that square is (10 m)(10 m) = 100 m^2
so what is the area of the path is ?
9m isn't a variable. It represents "metres" not some variable.
Just pointing out that the "language" of mathematics is very precise.
It is generally accepted that 9m would be a mathematical term where 9 is multiplied by the coefficient of 9,
but I would have read 9 m as 9 metres.
As to your question:
9 m would be a description of a line with a length of 9 m
9 m^2 would be the description of an area of 9 square metres
btw, what did you get as an answer to the original problem ?
what original problem?
It's a square lawn with area of 81, thus side length is 9.
The path surround it is 1 meter wide, thus the area will be
2*11*1+2*9*1=22+18=40
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or, as the path around the lawn, so the total side length will be 9+2=11,
11^2=121 which is the area of lawn+ area of path, we subtract the area of lawn from total, 121-81=40 the area of path.
Make a sketch of the square lawn.
If its area is 81 m^2, then each side must be 9 metres.
The path is 1 m wide, so the side of the square including the path must be 10 m^2.
So what is the area of this larger square?
What would be get if we subtract the area of the lawn?