Final answer:
The perimeter of the rectangle is 8x - 10.
Step-by-step explanation:
To find the perimeter of a rectangle, you add up the lengths of all four sides. In this case, the length is 3x-7 and the width is x+2. The perimeter formula for a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
So, for this rectangle, the perimeter would be:
P = 2(3x-7 + x+2)
= 2(4x-5)
= 8x - 10
Therefore, the perimeter of the rectangle is 8x - 10.