Answer:
The length of the rectangle = 6 x +6
Step-by-step explanation:
Step(i):-
Given that the width of the rectangle = 2x - 2
Given that the length of the rectangle = y
Perimeter of the rectangle
P = 2 (length + width)
= 2( y + 2x -2)
Given perimeter of the rectangle = 16 x +8
Step(ii):-
2( y + 2x -2) = 16 x +8
⇒ 2 y + 4x -4 = 16 x +8
⇒ 2 y = 16x +8-4x+4
⇒ 2 y = 12 x + 12
⇒ y = 6 x +6
The length of the rectangle = 6 x +6
