A rectangle shaded in blue is shown with dimensions left-parenthesis 3 x minus 3 right-parenthesis and left-parenthesis 3 x minus 1 right-parenthesis.
Which expression represents the perimeter of the rectangle above?
(1 point)
Responses
6 x plus 2
Image with alt text: 6 x plus 2
12 x minus 8
Image with alt text: 12 x minus 8
6 x minus 4
Image with alt text: 6 x minus 4
2 x plus 2
The perimeter of a rectangle can be calculated by adding up all the sides. In this case, the rectangle has sides with lengths (3x-3) and (3x-1). To find the perimeter, we add these two sides together:
Perimeter = (3x-3) + (3x-1)
Simplifying the expression, we get:
Perimeter = 6x - 4
Therefore, the expression that represents the perimeter of the rectangle is 6x - 4.
To find the perimeter of a rectangle, you add up all the sides. In this case, the dimensions of the rectangle are (3x-3) and (3x-1). The top and bottom sides have lengths of (3x-3), and the left and right sides have lengths of (3x-1). Thus, the expression that represents the perimeter is:
Perimeter = 2(3x-3) + 2(3x-1)
Simplifying this expression, we get:
Perimeter = 6x - 6 + 6x - 2
Perimeter = 12x - 8
So, the correct expression that represents the perimeter of the rectangle is 12x - 8. Therefore, the answer is "12 x minus 8".