Respuesta :
The working equation to find the perimeter of the rectangle is:
[tex]P=2L+2W[/tex]where L is the length of the rectangle and W is the width of the rectangle. Given the two sides of the rectangle and its parameter, we can rewrite the equation as:
[tex]166=2(4x)+2(5x+2)[/tex]Simplifying the equation and solve for x, we have:
[tex]\begin{gathered} 8x+10x+4=166 \\ 18x=166-4 \\ \frac{18x}{18}=\frac{162}{18} \\ x=9 \end{gathered}[/tex]For the side of AB that is the same as side AD, the measurement would be:
[tex]AB=5(9)+2=47[/tex]Answer: AB = 47
