Write an expression for the perimeter of a rectangle with Length l = 2x + 3 and width w = x - 2

Step-by-step explanation:

The perimeter of a shape is the length around the edges. For a rectangle with length L and width W:

P = 2L + 2W

Given L = 2x + 3 and W = x - 2, we can substitute:

P = 2 (2x + 3) + 2 (x - 2)

P = 4x + 6 + 2x - 4

P = 6x + 2

P=6x+2

Step-by-step explanation:

The perimeter of a rectangle is given by P = 2L + 2W

L=2x+3

W=x-2

Substituting with the values in the question we get:

P = 2 (2x+3) + 2 (x-2)

Open the brackets and then add the results.

=4x+6+2x-4

=6x+2

Therefore perimeter of the rectangle is given by the expression.

P=6x+2