4(x-2) and 7x perimeter
To find the perimeter of the rectangle, you need to add all four sides together.
Let's call the length of the rectangle "L" and the width "W".
The perimeter is given by the equation:
P = 2L + 2W
Since we are given that 4(x-2) is equal to the perimeter (7x), we can set up the equation:
4(x - 2) = 7x
Now, let's solve for x:
4x - 8 = 7x (by distributing 4 to both terms inside parentheses)
-8 = 7x - 4x (by subtracting 4x from both sides)
-8 = 3x (by combining like terms)
x = -8/3 (by dividing both sides by 3)
So the value of x is -8/3.
To find the length and width, substitute this value of x back into the expression 4(x-2):
Length = 4(-8/3 - 2) = 4(-8/3 - 6/3) = 4(-14/3) = -56/3
Width = 4(-8/3 - 2) = 4(-8/3 - 6/3) = 4(-14/3) = -56/3
Both the length and width come out to be -56/3.
Now we can find the perimeter using the equation:
P = 2L + 2W
P = 2(-56/3) + 2(-56/3)
P = -112/3 - 112/3
P = -224/3
Therefore, the perimeter of the rectangle is -224/3.
To find the perimeter of 4(x-2) and 7x, we need to add up all the sides.
Let's break it down step by step:
1. Start with 4(x-2). To find the perimeter, we need to distribute the 4 to the terms inside the parentheses.
=> 4 * x - 4 * 2
=> 4x - 8
2. Now let's consider 7x. This term doesn't have any parentheses, so we can simply keep it as it is.
To find the perimeter, we need to add up both terms:
=> (4x - 8) + 7x
3. To simplify further, combine like terms by adding the coefficients of similar variables (in this case, x).
=> 4x + 7x - 8
4. Sum up 4x and 7x to get the final expression for the perimeter:
=> 11x - 8
So, the perimeter of 4(x-2) and 7x is 11x - 8.