Answer:
The width of the rectangle is 5 meters, while the length of the rectangle is 12 meters.
Explanation:
Given that the perimeter of a rectangle is twice the sum of its lenght and its width, and the perimeter is 34 meters and its lenght is 2 meters more than twice its width, to determine the length and width of the rectangle the following calculation must be done:
(2X + 2 + X) x 2 = 34
(3X + 2) x 2 = 34
6X + 4 = 34
6X = 34 - 4
X = 30/6
X = 5
(2x5 + 2 + 5) x 2 = 34
(10 + 2 + 5) x 2 = 34
17 x 2 = 34
34 = 34
Therefore, the width of the rectangle is 5 meters, while the length of the rectangle is 12 meters.