which expression represents the perimeter of the model shown below?
4x+3
2x
A)2x+3x+4x
B)2(2x)+2(4x+3)
C)2x(4x+3)
D)2x(2x+4x+3
please help
well there are two pairs of sides, so you want 2 times each dimension, right?
To find the perimeter of the model, we need to add up all the sides.
Looking at the options provided:
A) 2x + 3x + 4x
This expression adds the lengths of all three sides, but it does not consider the model's shape or the specific lengths of each side.
B) 2(2x) + 2(4x + 3)
This expression accounts for the fact that there are two sides of length 2x and two sides of length 4x + 3. This option looks promising.
C) 2x(4x + 3)
This expression only multiplies the width by the length and does not account for the fact that there are two sides of each length.
D) 2x(2x + 4x + 3)
This expression also multiplies the width by the sum of all the sides, which is incorrect.
Based on the analysis, option B) 2(2x) + 2(4x + 3) represents the perimeter of the model shown below.
To find the perimeter of the model, we need to add up the lengths of all the sides. Looking at the given expressions, we can see that there are two sides labeled as "4x+3" and two sides labeled as "2x".
To calculate the perimeter, we can add up these four sides:
(4x+3) + (4x+3) + (2x) + (2x)
Now, let's simplify this expression:
4x + 3 + 4x + 3 + 2x + 2x
Combining like terms, we get:
8x + 8
Therefore, the expression that represents the perimeter is:
A) 2x + 3x + 4x