Given:
The width of rectangle is w = 5x - 4.
The perimeter of rectangle P = 14x + 4.
Explanation:
The formula for the perimeter of rectangle is,
[tex]P=2(L+w)[/tex]Substitute the expression in formula to determine the length of rectangle.
[tex]\begin{gathered} 14x+4=2(L+5x-4) \\ L+5x-4=\frac{14x+4}{2} \\ L=7x+2-5x+4 \\ =2x+6 \end{gathered}[/tex]So length of rectangle is 2x + 6.
Answer: 2x + 6
