Answer: Perimeter = 14x + 4
Concept:
Here, we need to know how to find the perimeter of a rectangle.
Perimeter (rectangle) = 2 (l + w)
l = length
w = width
If you are still confused, you may refer to the attachment below for a graphical explanation.
Solve:
Given information
l = 5x + 2
w = 2x
Given expression
Perimeter = 2 (l + w)
Substitute values into the expression
Perimeter = 2 (5x + 2 + 2x)
Combine like terms
Perimeter = 2 (7x + 2)
Expand parentheses and apply the distributive property
Perimeter = 2 · 7x + 2 · 2
Perimeter = 14x + 4
Hope this helps!! :)
Please let me know if you have any questions
