The width of a rectangle measures left bracket, 5, v, minus, 2, w, right bracket
(
5
v
−
2
w
)
(5v−2w) centimeters, and its length measures left bracket, 6, v, plus, 7, w, right bracket
(
6
v
+
7
w
)
(6v+7w) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
The perimeter of a rectangle is found by adding up all four sides.
The width of the rectangle is 5v - 2w, and the length is 6v + 7w.
To find the perimeter, we add up all four sides:
2(width) + 2(length)
2(5v - 2w) + 2(6v + 7w)
= 10v - 4w + 12v + 14w
= 22v + 10w
So the expression that represents the perimeter of the rectangle is 22v + 10w.
The perimeter of a rectangle is calculated by adding up all four sides of the rectangle.
To find the perimeter, we need to calculate the sum of the length and the width, and then multiply that sum by 2.
The width of the rectangle is given as (5v - 2w) centimeters.
The length of the rectangle is given as (6v + 7w) centimeters.
Let's calculate the sum of the length and the width:
Sum = (5v - 2w) + (6v + 7w)
= 5v - 2w + 6v + 7w
Now, we can simplify the sum:
Sum = 11v + 5w
Finally, we multiply the sum by 2 to find the perimeter:
Perimeter = 2 * (11v + 5w)
Therefore, the expression that represents the perimeter of the rectangle, in centimeters, is 2(11v + 5w).