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)
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.
Well, let's have some fun with the rectangle! To find the perimeter, we add up all the sides. If we take a closer look at the options, we can eliminate some right away.
Option A, 10x + 10 + 4x - 2, seems to have some extra stuff going on. We like to keep things simple here.
Option B, 14x + 12, is a good candidate. It only has two terms, and it looks quite straightforward.
Option C, 14x + 8, seems very similar to option B. But hold on, the rectangle has four sides, and we need to account for all of them!
Option D, 2(5x + 5) + 2(2x - 1), is making an effort to cover all four sides. But does it?
Well, if we simplify this expression, we can see that we end up with 10x + 10 + 4x - 2 + 4x - 2 + 10x + 10. If we combine like terms, we get 28x + 26, which is not one of the given options.
So, the correct answer for the polynomial expression in simplest form for the perimeter of the rectangle is:
B. 14x + 12
Remember, simplicity is the key, even when dealing with shapes!
To find the perimeter of a rectangle, we add up the lengths of all four sides.
In this case, let's analyze the given rectangle. We see that it has two pairs of congruent sides: 5x + 5 and 2x - 1.
To find the perimeter, we add up the lengths of the congruent sides and double the sum since we need to account for both pairs of congruent sides.
Therefore, the polynomial expression that represents the perimeter of the rectangle is 2(5x + 5) + 2(2x - 1).
Simplifying this expression gives us:
2(5x) + 2(5) + 2(2x) + 2(-1)
10x + 10 + 4x - 2
Thus, the correct polynomial expression in simplest form for the perimeter of the rectangle is A. 10x + 10 + 4x - 2.