An algebraic expression to represent the perimeter of the following rectangle is 10x - 14.
The perimeter of a rectangle is the total length of all its sides added together.
To represent the perimeter of the given rectangle algebraically, we need to add the expressions for the lengths of the four sides.
The lengths of the sides are 2x-7 and 3x, so the perimeter of the rectangle can be represented by the following algebraic expression:
Perimeter = 2 * (2x-7 + 3x)
Simplifying the expression, we get:
Perimeter = 10x - 14
Therefore, the algebraic expression to represent the perimeter of the given rectangle is 10x - 14.