Answer:
99
Explanation:
Let's call the width of the rectangle "w".
According to the problem, the length is "2m longer than its width", so the length must be:
w + 2
The perimeter of a rectangle is given by:
2(length + width)
In this case, we know the perimeter is 40 meters:
2(w + 2 + w) = 40
Simplify and solve for "w":
4w + 4 = 40
4w = 36
w = 9
So the width of the rectangle is 9 meters.
To find the length, we can use the equation we came up with earlier:
length = w + 2 = 9 + 2 = 11
Now we can find the area of the rectangle:
Area = length x width = 11 x 9 = 99
Therefore, the area of the rectangle is 99 square meters.