The width of a rectangle measures left bracket, 3, b, plus, 5, right bracket(3b+5) centimeters, and its length measures left bracket, 8, b, plus, 6, right bracket(8b+6) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
The perimeter of a rectangle is given by the formula: P = 2(length + width).
The width of the rectangle is (3b+5) cm and the length of the rectangle is (8b+6) cm.
Therefore, the perimeter of the rectangle is:
P = 2[(8b+6) + (3b+5)]
P = 2[11b + 11]
P = 22b + 22
So, the expression that represents the perimeter, in centimeters, of the rectangle is 22b + 22. Answer: \boxed{22b+22}.
The perimeter of a rectangle is calculated by adding the lengths of all four sides.
The length of the rectangle is given as (8b + 6) centimeters, and the width of the rectangle is given as (3b + 5) centimeters.
To find the perimeter, we need to add the length of each side:
1. The top side has length (8b + 6) centimeters.
2. The bottom side has length (8b + 6) centimeters.
3. The left side has length (3b + 5) centimeters.
4. The right side has length (3b + 5) centimeters.
So, the expression that represents the perimeter of the rectangle is:
(8b + 6) + (8b + 6) + (3b + 5) + (3b + 5)
Simplifying this expression by combining like terms, we get:
8b + 6 + 8b + 6 + 3b + 5 + 3b + 5
Combining like terms, we have:
22b + 22 + 8
Simplifying further, the expression that represents the perimeter of the rectangle is:
22b + 30 centimeters.
To find the perimeter of a rectangle, we need to add up the lengths of all four sides.
The width of the rectangle is given as (3b + 5) centimeters, and the length is given as (8b + 6) centimeters.
The perimeter is the sum of the lengths of all sides, which can be written as:
Perimeter = width + width + length + length
Substituting the given expressions for width and length, we have:
Perimeter = (3b + 5) + (3b + 5) + (8b + 6) + (8b + 6)
Now, let's simplify the expression:
Perimeter = 3b + 5 + 3b + 5 + 8b + 6 + 8b + 6
Combining like terms:
Perimeter = (3b + 3b + 8b + 8b) + (5 + 5 + 6 + 6)
Simplifying further:
Perimeter = 22b + 22
Therefore, the expression representing the perimeter of the rectangle is 22b + 22 centimeters.