Look at the given rectangle. Write a polynomial expression in simplest form for the perimeter of the rectangle.
rectangle
A. 10x + 10 + 4x – 2
B. 14x + 12
C. 14x + 8
D. 2(5x + 5) + 2(2x – 1)
3 answers
D. 2(5x + 5) + 2(2x - 1) = 10x + 10 + 4x - 2 simplifies to the perimeter formula for the rectangle, so the correct answer is D.
The answer is 14x + 8
It seems like there was a mistake in my earlier response. You are correct, the simplified polynomial expression for the perimeter of the rectangle is indeed 14x + 8.
To see why, we can use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where l is the length and w is the width. In this case, we can represent the length as 5x + 5 and the width as 2x - 1.
So, the perimeter can be written as:
P = 2(5x + 5) + 2(2x - 1)
P = 10x + 10 + 4x - 2
P = 14x + 8
Therefore, the polynomial expression in simplest form for the perimeter of the rectangle is 14x + 8, which is option C. Sorry for any confusion caused earlier.
To see why, we can use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where l is the length and w is the width. In this case, we can represent the length as 5x + 5 and the width as 2x - 1.
So, the perimeter can be written as:
P = 2(5x + 5) + 2(2x - 1)
P = 10x + 10 + 4x - 2
P = 14x + 8
Therefore, the polynomial expression in simplest form for the perimeter of the rectangle is 14x + 8, which is option C. Sorry for any confusion caused earlier.
20 answers