Solution:
As per the problem we have
WXYZ is an isosceles trapezoid with legs WX and YZ and a base XY.
The length of WX is 6x+5, the length of XY is 10x+4 and the length of YZ is 8x-3.
The diagram representing the above given data has been attached.
Since WXYZ is an isosceles trapezoid with legs WX and YZ.
So we can write
[tex] wx=yz\\
\\
\Rightarrow 6x+5=8x-3\\
\\
\text{Take the like terms together we get}\\
\\
\Rightarrow8x-6x=5+3\\
\\
\text{Simplify we get}\\
\\
\Rightarrow2x=8\\
\\
\Rightarrow x=4 [/tex]
Hence we get x=4
