Given that
The rectangle is there with length, WX = 4x + 10 and breadth, XY = 2x - 6
Also, the perimeter is 116 and we have to find the value of WX.
Explanation -
The formula for the perimeter of the rectangle is given as P
[tex]\begin{gathered} Perimeter=2\times(l+b) \\ where\text{ l = length and b = breadth} \end{gathered}[/tex]
On substituting the values we have
[tex]\begin{gathered} 116=2\times(4x+10+2x-6) \\ \frac{116}{2}=6x+4 \\ 58=6x+4 \\ 6x=58-4 \\ 6x=54 \\ x=\frac{54}{6} \\ x=9 \end{gathered}[/tex]
So now WX,
WX = 4x + 10
WX = 4(9) + 10
WX = 36 + 10 = 46
WX = 46
H
So the final answer is 46.
