Perimeter means length of the boundary.
The length of the boundary of a rectangle includes the sum of 2 lengths and 2 breadths. So, we can write the perimeter of rectangle as:
[tex] \large{ \boxed{ \bf{p = 2(l + b)}}}[/tex]
Where,
In the question,
It's given that l = 2x + 3 and b = 5x - 5
So, let's find the perimeter by using the formula,
⇛ P = 2[ (2x + 3) + (5x - 5)]
⇛ P = 2(2x + 3 + 5x - 5)
⇛ P = 2(7x - 2)
Opening the parentheses,
⇛ P = 14x - 4
Perimeter of the rectangle:
[tex] \large{ \boxed{ \bf{ \red{p = 14x - 4}}}}[/tex]
And we are done !!
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