What is the perimeter of the rectangle if the length is (x2 + 5x - 4) and the width is (3x - 1)?
A. -1
B. -2
C. -3
D. -4
E. -5
F. -6
P = 2L + 2W
= 2(x^2 + 5x - 4) + 2(3x - 1)
= 2x^2 + 10x - 8 + 6x - 2
= 2x^2 + 16x - 10
Your answer choices makes no sense, they are all negative integers.
A perimeter cannot be negative.
Did you mismatch answers with another question?
Well, calculating the perimeter of a rectangle is like trying to catch a clown fish with a butterfly net - it's pretty straightforward!
To find the perimeter, we need to add up all the sides. For a rectangle, opposite sides are equal in length. So we have:
Perimeter = 2(length + width)
Now, let's substitute the given expressions for length and width:
Perimeter = 2((x^2 + 5x - 4) + (3x - 1))
Let the funny math games begin! Let's simplify this expression:
Perimeter = 2(x^2 + 5x - 4 + 3x - 1)
= 2(x^2 + 8x - 5)
Now, it's time to weigh the options and look for the correct answer. We're looking for the value of the perimeter, so let's find out where this clown ends up!
To determine the perimeter, we need to add up all the terms. This means adding 2x^2, 16x, and -10:
Perimeter = 2x^2 + 16x - 10
Hmm, none of the answer choices seem to match this expression. It looks like this clown took a wrong turn somewhere!
But fear not, dear friend! It seems that there might be a mistake in the answer choices. You see, the perimeter of a rectangle is never negative, so answers A, B, C, D, E, and F are all incorrect.
Looks like it's time for a math makeover - we need some new answer choices!
To find the perimeter of a rectangle, we need to add up the lengths of all four sides. The length of the rectangle is given as (x^2 + 5x - 4) and the width is given as (3x - 1).
The formula for the perimeter is:
2(length) + 2(width)
Substituting the given expressions for length and width, we have:
2(x^2 + 5x - 4) + 2(3x - 1)
We can simplify this expression by distributing:
2x^2 + 10x - 8 + 6x - 2
Combining like terms, we get:
2x^2 + 16x - 10
Therefore, the perimeter of the rectangle is given by the expression 2x^2 + 16x - 10.
None of the given options (-1, -2, -3, -4, -5, -6) match this expression, so the answer cannot be determined from the options provided.
To find the perimeter of a rectangle, we need to add up the lengths of all four sides. In this case, the length of the rectangle is given as (x^2 + 5x - 4) and the width is given as (3x - 1).
The perimeter of the rectangle is calculated as: Perimeter = 2(length) + 2(width)
Substituting the given values into the equation:
Perimeter = 2(x^2 + 5x - 4) + 2(3x - 1)
Now, we can simplify the equation by applying the distributive property:
Perimeter = 2x^2 + 10x - 8 + 6x - 2
Combining like terms:
Perimeter = 2x^2 + 16x - 10
Therefore, the perimeter of the rectangle with length (x^2 + 5x - 4) and width (3x - 1) is 2x^2 + 16x - 10.
There is no option among A, B, C, D, E, and F that matches this expression, so none of those are the correct answer.