The width of a rectangle measures left bracket, 5, v, minus, w, right bracket(5v−w) centimeters, and its length measures left bracket, 6, v, plus, 8, w, right bracket(6v+8w) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answer 1

To find the perimeter of a rectangle, we need to add up the lengths of all four sides.

The width of the rectangle is (5v-w) centimeters, so the two widths add up to 2*(5v-w) = 10v-2w centimeters.

The length of the rectangle is (6v+8w) centimeters, so the two lengths add up to 2*(6v+8w) = 12v+16w centimeters.

The perimeter of the rectangle is then the sum of the two widths and the two lengths, so the expression for the perimeter is:

(10v-2w) + (12v+16w) = 22v + 14w centimeters.