Final answer:
To find the dimensions of the rectangle, we need to set up a system of equations based on the given information. By solving the system, we find that the length of the rectangle is 42 units and the width is 13 units.
Step-by-step explanation:
To solve this problem, we need to set up a system of equations based on the given information. Let's assume that the width of the rectangle is x units. According to the problem statement, the length of the rectangle is 3 more than triple the width, so it can be expressed as 3x + 3 units.
The perimeter of a rectangle is given by the formula P = 2(length + width). Substituting the expressions for length and width into the formula, we get 110 = 2(3x + 3 + x). Simplifying the equation, we have 110 = 2(4x + 3). Multiplying out the parenthesis, we get 110 = 8x + 6. Subtracting 6 from both sides, we have 104 = 8x. Dividing both sides by 8, we find that x = 13. Substituting this value back into the expression for length, we get length = 3(13) + 3 = 42 units. Therefore, the dimensions of the rectangle are Length = 42 units and Width = 13 units.