Look at the given rectangle. Write a polynomial expression in simplest form for the perimeter of the rectangle.
5x+5, 2x-1, 5x+5, 1x-1
A. 10x+10+4x-2
B. 14x+12
C. 14x+8
D. 2(5x+5)+2(2x-1)
D. 2(5x+5)+2(2x-1) = 10x+10+4x-2 = 14x+8
To find the perimeter of a rectangle, we need to add up the lengths of all four sides.
Given the four lengths:
Side 1: 5x+5
Side 2: 2x-1
Side 3: 5x+5
Side 4: 1x-1
To find the perimeter, we add them together:
(5x+5) + (2x-1) + (5x+5) + (1x-1)
Now, let's simplify the expression:
Combining like terms:
5x + 5x + 1x + 2x + 5 - 1 + 5
13x + 9
Therefore, the polynomial expression in simplest form for the perimeter of the rectangle is:
13x + 9
So, the correct answer is:
C. 13x + 9
To find the perimeter of a rectangle, we sum the lengths of all its sides.
In this case, the lengths of the sides are given as:
Side 1: 5x + 5
Side 2: 2x - 1
Side 3: 5x + 5
Side 4: 1x - 1
To find the perimeter, we add these side lengths together:
Perimeter = (5x + 5) + (2x - 1) + (5x + 5) + (1x - 1)
To simplify the expression, we combine the like terms:
Perimeter = 5x + 5 + 2x - 1 + 5x + 5 + 1x - 1
Combining like terms, we have:
Perimeter = (5x + 2x + 5x + 1x) + (5 - 1 + 5 - 1)
Perimeter = 13x + 8
Therefore, the polynomial expression in simplest form for the perimeter of the rectangle is:
Perimeter = 13x + 8
So, the correct answer is C. 14x + 8.