Final answer:
We can use the formula for the perimeter of a rectangle, substitute the given length and width, and solve the resulting equation for x. The solution to the equation is x = 18.
Step-by-step explanation:
In this problem, we are dealing with a rectangle whose perimeter is given and we need to find the value of x. The perimeter of a rectangle is given by the formula 2(length + width). So, we can substitute the given length (3x) and width (x + 2) into this formula. This gives: 2(3x + x + 2) = 148.
Combining like terms in the parentheses gives: 2(4x + 2) = 148. Distributing the 2 next gives us: 8x + 4 = 148. Subtracting 4 from both sides: 8x = 144. Finally, dividing by 8 on both sides gives us the value of x as x = 18.
Learn more about Rectangle Perimeter