The width of a rectagle measures (5v - w ) centimeters, and its length measures (6v + 8w ) centimeters. Which expression represents the perimeter in centimeters of the rectangle?
The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, the rectangle has two sides of width and two sides of length.
The width of the rectangle is given by (5v - w) centimeters.
So, the two sides of width would be (5v - w) + (5v - w) = 2(5v - w) centimeters.
The length of the rectangle is given by (6v + 8w) centimeters.
So, the two sides of length would be (6v + 8w) + (6v + 8w) = 2(6v + 8w) centimeters.
Therefore, the perimeter of the rectangle in centimeters would be the sum of the widths and lengths:
2(5v - w) + 2(6v + 8w) = 10v - 2w + 12v + 16w = 22v + 14w.
Hence, the expression that represents the perimeter of the rectangle in centimeters is 22v + 14w.
To find the perimeter of a rectangle, we add the lengths of all four sides.
The width of the rectangle measures (5v - w) centimeters.
The length of the rectangle measures (6v + 8w) centimeters.
The perimeter is calculated as follows:
Perimeter = 2(Width + Length)
Substituting the given expressions for width and length, we get:
Perimeter = 2((5v - w) + (6v + 8w))
Simplifying the expression inside the parentheses:
Perimeter = 2(11v + 7w)
Therefore, the expression 2(11v + 7w) represents the perimeter of the rectangle in centimeters.