Look at the given rectangle. Write a polynomial expression in simplest form for the perimeter of the rectangle.
5x + 5
2x - 1
5x + 5
2x - 1
O 10x+10+4x-2
O 14x + 12
O 14x + 8
O2(5x+5)+2(2x-1)
They asked for the simplest form, which is 14x+8
You are correct! The simplified polynomial expression for the perimeter of the rectangle is 14x+8.
To find the perimeter of a rectangle, we add up all the sides.
Given that the rectangle has sides of length 5x + 5 and 2x - 1, the expression for the perimeter is:
(5x + 5) + (2x - 1) + (5x + 5) + (2x - 1).
Simplifying this expression, we get:
5x + 5 + 2x - 1 + 5x + 5 + 2x - 1.
Combining like terms, we have:
(5x + 2x + 5x + 2x) + (5 - 1 + 5 - 1).
Further simplifying, we get:
14x + 8.
So, the polynomial expression in simplest form for the perimeter of the rectangle is:
14x + 8.