The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 46 meters and its length is 2 meters more than twice its width. What is its length
Let's assume the width of the rectangle is represented by "w".
According to the given information, the length is 2 meters more than twice the width, so the length can be represented as 2w + 2.
The formula for the perimeter of a rectangle is 2(length + width), so in this case, we can write:
2(2w + 2 + w) = 46
Simplifying the equation, we get:
2(3w + 2) = 46
6w + 4 = 46
Subtracting 4 from both sides, we get:
6w = 42
Dividing both sides by 6, we get:
w = 7
So the width of the rectangle is 7 meters.
Now we can calculate the length using the given information:
length = 2w + 2 = 2(7) + 2 = 14 + 2 = 16
Therefore, the length of the rectangle is 16 meters.