Final answer:
To find the dimensions of the rectangle, we can set up a system of equations based on the given information and solve for the width and the length. The width of the rectangle is 30 centimeters, and the length is 45 centimeters.
Step-by-step explanation:
To solve this problem, we can set up a system of equations based on the given information. Let's assume the width of the rectangle is 2x, and the length is 3x. The perimeter of a rectangle is given by the formula P = 2(length + width), so we can set up the equation 2(3x + 2x) = 150.
Simplifying this equation, we get 10x = 150, which means x = 15. Therefore, the width of the rectangle is 2x = 2(15) = 30 centimeters, and the length is 3x = 3(15) = 45 centimeters.